Papers

With Ilya Spitkovsky in Bordeaux
 

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249.
A. Böttcher:
Ten years with Sergei Grudsky in the eigenvalue bulk 
of Toeplitz matrices.
J. Math. Sciences (online first).

248.
A. Böttcher,  I. Gohberg, Yu. I. Karlovich, N. Krupnik, S. Roch,
B. Silbermann, and I. Spitkovsky:
Banach algebras generated by N idempotents and applications.
Operator Theory: Adv. and Appl. 306, 67-109  (2025); reprint of No.72.

247.
A. Böttcher:
Yuri Karlovich and the metamorphosis of spectra
of singular integral and Toeplitz operators.
Operator Theory: Adv. and Appl. 306, 35-66 (2025).

246.
M. Bogoya, A. Böttcher, and S. M. Grudsky:
Eigenvalues of Toeplitz matrices emerging from
finite differences for certain ordinary differential operators.
Linear Algebra Appl. 706, 24-54 (2025).

245.
A. Böttcher, S. R. Garcia, and M. Mitkovski:
The reciprocal Schur inequality.
Operator Theory: Adv. and Appl. 297, 41-49 (2024).

244.
A. Böttcher:
Ilya Spitkovsky's pioneering work on massive local spectra
of Toeplitz operators.
Operator Theory: Adv. and Appl. 297, 19-39 (2024).

243.
A. Böttcher:
Spectral instabilities: variations on a theme loved by Brian Davies.
Journal of Spectral Theory 14, 459-478 (2024).

242.
M. Bogoya, A. Böttcher, and S. M. Grudsky:
Asymptotic eigenvalue expansions for Toeplitz matrices
with certain Fisher–Hartwig symbols.
J. Math. Sciences 271, 176-196 (2023).

241.
A. Böttcher and I. Spitkovsky:
Core invertibility of operators from the algebra generated
by two orthogonal projections.
Acta Scientiarum Mathematicarum 89, 257-268 (2023).

240.
A. Böttcher:
My encounters with Harold Widom.
Operator Theory: Adv. and Appl. 289, 87-99 (2022).

239.
Estelle Basor, Albrecht Böttcher, and Torsten Ehrhardt:
Harold Widom's contributions to the spectral theory
and asymptotics of Toeplitz operators and matrices.
Operator Theory: Adv. and Appl. 289, 49-74 (2022).

238.
Estelle Basor, Albrecht Böttcher, Torsten Ehrhardt, and Craig A. Tracy:
Biography of Harold Widom.
Operator Theory: Adv. and Appl. 289, 3-7 (2022).

237.
A. Böttcher:
Entries of the inverses of large positive definite Toeplitz matrices.
Acta Scientiarum Mathematicarum 88, 85-99 (2022).

236.
Estelle Basor, Albrecht Böttcher, Ivan Corwin, Persi Diaconis,
Torsten Ehrhardt, Al Kelley, Barry Simon, Craig A. Tracy, and Tony Tromba:
Remembrances of Harold Widom.
Notices of the Amer. Math. Soc. 69, No. 4, 586-598 (2022).

235.
Estelle Basor, Albrecht Böttcher, and Torsten Ehrhardt:
Harold Widom's work in Toeplitz operators.
Bull. Amer. Math. Soc. 59, No. 2, 175-190 (2022).

234.
A. Böttcher and I. Spitkovsky:
The norm attainment problem for functions of projections.
Archiv d. Math. 117, 397-403 (2021).

233.
A. Böttcher:
Groups of orthogonal matrices all orbits of which generate lattices.
Operator Theory: Adv. and Appl. 282, 95-111 (2021).

232.
Albrecht Böttcher, Juanita Gasca, Sergei Grudsky, and Anatoli Kozak:
Eigenvalue clusters of large tetradiagonal Toeplitz matrices.
Integral Equations and Operator Theory 93, Paper No. 8, 27 pages (2021).

231.
A. Böttcher, S. R. Garcia, M. Omar, and C. O'Neill:
Weighted means of B-splines, positivity of divided differences,
and complete homogeneous symmetric polynomials.
Linear Algebra Appl. 608, 68-83 (2021).

230.
A. Böttcher and L. Fukshansky:
Representing integers by multilinear polynomials.
Research in Number Theory 6, Article No. 38, 8 pages (2020).

229.
M. Polettini and A. Böttcher:
Skew compressions of positive definite operators and matrices.
Electronic Journal of Linear Algebra (ELA) 36, 400-410 (2020).

228.
A. Böttcher, S. Eisenbarth, L. Fukshansky, S. R. Garcia, and H. Maharaj:
Spherical 2-designs and lattices from Abelian groups.
Discrete & Computational Geometry 61, 123-135 (2019).

227.
A. Böttcher and E. Wegert:
How to solve an equation with a Toeplitz operator?
Operator Theory: Adv. and Appl. 271, 145-166 (2018).

226.
A. Böttcher:
Four concrete applications of Toeplitz operators.
In: Operator Theory - Themes and Variations, Proceedings of the Conference on Operator Theory
in Timisoara 2016, pp. 97-117, Theta, Bucharest 2018.

225.
A. Böttcher and I. Spitkovsky:
Robert Sheckley’s Answerer for two orthogonal projections.
Operator Theory: Adv. and Appl. 268, 125-138 (2018).

224.
M. Barrera, A. Böttcher, S. Grudsky, and E. A. Maximenko:
Eigenvalues of even very nice Toeplitz matrices can be unexpectedly erratic.
Operator Theory: Adv. and Appl. 268, 51-77 (2018).

223.
A. Böttcher,  L. Fukshansky, S. R. Garcia, and H. Maharaj:
Lattice theory and Toeplitz determinants.
Operator Theory:  Adv. and Appl. 262, 117-138 (2018).

222.
A. Böttcher:
Index formulas for Toeplitz operators, approximate identities, and the Wolf-Havin theorem.
Operator Theory:  Adv. and Appl. 261, 159-171 (2018).

221.
Albrecht Böttcher, Barry Simon, and Ilya Spitkovsky:
Similarity between two projections.
Integral Equations and Operator Theory 89, 507-518 (2017).  

220.
A. Böttcher, C. Garoni, and S. Serra-Capizzano:
Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey (Russian).
Mat. Sbornik 208, no. 11, 29-55 (2017).
English translation in Sbornik: Mathematics 208, no. 11, 1602-1627 (2017).

219.
A.  Böttcher, J. M. Bogoya, S. M. Grudsky, and E. A. Maximenko:
Asymptotic formulas for the eigenvalues and eigenvectors of Toeplitz matrices (Russian).
Mat. Sbornik 208, no. 11, 4-28 (2017).
English translation in Sbornik: Mathematics 208, no. 11, 1578-1601 (2017).

218.
A. Böttcher and L. Fukshansky:
Addendum to "Lattices from equiangular tight frames".
Linear Algebra Appl. 531, 592-601 (2017).

217.
A. Böttcher and C. Rebs:
On the constants in Markov inequalities for the Laplace operator on polynomials with
the Laguerre norm.
Asymptotic Analysis 101, 227-239 (2017).

216.
A. Böttcher:
The Duduchava-Roch formula.
Operator Theory:  Adv. and Appl. 258, 1-19 (2017).

215.
A. Böttcher,  L. Fukshansky, S. R. Garcia, and H. Maharaj:
Lattices from Abelian groups.
Oberwolfach Reports 13, 121-124 (2016).

214.
A. Böttcher and F.-O. Speck:
On the symmetrization of general Wiener-Hopf operators.
J. Operator Theory 76, 335-349 (2016).

213.
A. Böttcher,  L. Fukshansky, S. R. Garcia, H. Maharaj, and D. Needell:
Lattices from equiangular tight frames.
Linear Algebra Appl. 510, 395-420 (2016).

212.
A. Böttcher, H. Langenau, and H. Widom:
Schatten class integral operators occurring in Markov-type inequalities.
Operator Theory:  Adv. and Appl. 255, 91-104 (2016).

211.
M. Bogoya, A. Böttcher, and E.A. Maximenko:
From convergence in distribution to uniform convergence.
Boletin de la Sociedad Matematica Mexicana 22, 695-710 (2016).

210.
A. Böttcher:
The part of my path I walked together with Sergei Grudsky.
Boleti­n de la Sociedad Matematica Mexicana 22, 309-327 (2016).

209
A. Böttcher and F. Kittaneh:
The limit of the zero set of polynomials of the Fibonacci type.
Journal of  Number Theory 163, 89-100 (2016).

208.
M. Bogoya, A. Böttcher,  S. Grudsky, and E.A. Maximenko:
Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols.
Linear Algebra Appl. 493, 606-637 (2016).

207.
Albrecht Böttcher, Lenny Fukshansky, Stephan Ramon Garcia, and Hiren Maharaj:
Lattices from Hermitian function fields.
Journal of Algebra 447, 560-579 (2016).

206.
Albrecht Böttcher, Danny Kowerko, and Roland K. O. Sigel:
Explicit analytic equations for multimolecular thermal melting curves.
Biophysical Chemistry 202, 32-39 (2015).

205.
M. Bogoya, A. Böttcher,  S. Grudsky, and E.A. Maximenko:
Maximum norm versions of the Szegö and Avram-Parter theorems for Toeplitz matrices.
J. Approx. Theory 196, 79--100 (2015).

204.
Albrecht Böttcher, Lenny Fukshansky, Stephan Ramon Garcia, and Hiren Maharaj:
On lattices generated by finite Abelian groups.
SIAM J. Discrete Math. 29, 382--404 (2015).

203.
Albrecht Böttcher, Lenny Fukshansky, Stephan Ramon Garcia, and Hiren Maharaj:
Toeplitz determinants with perturbations in the corners.
J. Funct. Analysis 268, 171-193 (2015).

202.
M. Bogoya, A. Böttcher,  S. Grudsky, and E.A. Maximenko:
Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols.
J. Math. Analysis Appl. 422, 1308-1334 (2015).

201.
A. Böttcher and M. Halwass:
Canonical Wiener-Hopf and spectral factorization of large-degree matrix polynomials.
Proceedings in Applied Mathematics and Mechanics (PAMM) 14, 817-818 (2014).

200.
A. Böttcher:
On Hurwitz stable polynomials with integer coefficients.
Computational Methods and Function Theory 14, 139-156 (2014).

199.
A. Böttcher:
Borodin-Okounkov and Szegö for Toeplitz operators on model spaces.
Integral Equations and Operator Theory 78, 407-414 (2014).

198.
A. Böttcher and M. Halwass:
A Newton method for canonical Wiener-Hopf and spectral factorization of matrix polynomials.
Electronic Journal of Linear Algebra (ELA) 26, 873-897 (2013).

197.
A. Böttcher and I. Spitkovsky:
Special types of matrices.
Chapter 22 of the Handbook of Linear Algebra, 2nd edition, edited by Leslie Hogben,
Chapman & Hall/CRC, Boca Raton 2013.

196.
A. Böttcher:
Best constants for Markov type inequalities in Hilbert space norms.
In: Recent Trends in  Analysis, Proceedings of the Conference in Honor of Nikolai Nikolski,
Bordeaux 2011, pp. 73-83, Theta, Bucharest 2013.

195.
A. Böttcher:
An operator theoretic approach to the brickwork Ising model with second-neighbor interactions.
Linear Algebra Appl. 439, 675-685 (2013).

194.
A. Böttcher and I. Spitkovsky:
Classification of the finite-dimensional algebras generated by two tightly coupled idempotents.
Linear Algebra Appl. 439, 538-551 (2013).

193.
A. Böttcher and M. Halwass:
Wiener-Hopf and spectral factorization of real polynomials by Newton's method.
Linear Algebra Appl. 438, 4760-4805 (2013).

192.
A. Böttcher and I. Spitkovsky:
The factorization problem: some known results and open questions.
Operator Theory:  Adv. and Appl. 229, 101-122 (2013).

191.
A. Böttcher and Antti Perälä:
The index formula of Douglas for block Toeplitz operators on the Bergman space of the ball.
Operator Theory:  Adv. and Appl. 228, 39-55 (2013).

190.
Albrecht Böttcher and Albrecht Pietsch:
Orthogonal and skew-symmetric operators in real Hilbert space.
Integral Equations and Operator Theory 74, 497-511  (2012).

189.
A. Böttcher, S. Grudsky, and A. Iserles:
The Fox-Li operator as a test and a spur for Wiener-Hopf theory.
In: Essays in Mathematics and Its Applications, in Honor of Stephen Smale's 80th Birthday,
pp. 37-48, Springer-Verlag, Heidelberg 2012.

188.
A. Böttcher and I. Spitkovsky:
Group inversion in certain finite-dimensional algebras generated by two idempotents.
Indagationes Mathematicae 23, 715-732 (2012).

187.
M. Bogoya, A. Böttcher, and S. Grudsky:
Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries.
Journal of  Spectral Theory 2, 267-292 (2012).

186.
M. Bogoya, A. Böttcher, S. Grudsky, and E. A. Maksimenko:
Eigenvectors of  Hessenberg Toeplitz matrices and a problem by Dai, Geary, and Kadanoff.
Linear Algebra Appl. 436, 3480-3492 (2012).

185.
M. Bogoya, A. Böttcher, and S. Grudsky:
Asymptotics of individual eigenvalues of a class of large Hessenberg Toeplitz matrices.
Operator Theory: Adv. and Appl. 220, 77-95 (2012).

184.
A. Böttcher, S. Grudsky, D. Huybrechs, and A. Iserles:
First-order trace formulae for the iterates of the Fox-Li operator.
Operator Theory: Adv. and Appl. 218, 207-224 (2012).

183.
A. Böttcher and I. Spitkovsky:
On certain finite-dimensional algebras generated by two idempotents.
Linear Algebra Appl. 435, 1823-1836 (2011).

182.
A. Böttcher, S. Grudsky, and A. Iserles:
Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols.
Math. Proc. Cambridge Phil. Soc. 151, 161-191 (2011).

181.
A. Böttcher:
The algebraic Riccati equation with Toeplitz matrices as coefficients.
Electronic Journal of Linear Algebra (ELA) 22, 348-362 (2011).

180.
A. Böttcher and P. Dörfler:
Inequalities of the Markov type for partial derivatives of polynomials in several variables.
J. Integral Equations Appl. 23, 1-37 (2011).

179.
A. Böttcher,  S. Grudsky, and  R. M. Porter:
European double-barrier options with a compound Poisson component.
In: Progress in Economics Research, Vol. 18 (A. Tavidze, ed.), pp. 315-331, 
Nova Science Publishers, Huntington, NY, 2011.

178.
A. Böttcher and P. Dörfler:
On the best constants in Markov-type inequalities involving Gegenbauer norms with different weights.
Operators and Matrices 5, 261-272 (2011).

177.
M. Bogoya, A. Böttcher, S. Grudsky, and E. A. Maksimenko:
Eigenvalues of Hessenberg Toeplitz matrices generated by symbols with several singularities.
Commun. Math. Analysis, Conf. 03, 23-41 (2011).

176.
A. Böttcher, H. Brunner, A. Iserles, and S. P. Norsett:
On the singular values and eigenvalues of the Fox-Li and related operators.
New York J. Math. 16, 539-561 (2010).

175.
A. Böttcher and P. Dörfler:
On the best constants in Markov-type inequalities involving Laguerre norms with different weights.
Monatshefte f. Math. 161, 357-367 (2010).

174.
A. Böttcher, S. Grudsky, and E. A. Maksimenko:
On the structure of the eigenvectors of large Hermitian Toeplitz band matrices.
Operator Theory: Adv. and Appl. 210, 15-36 (2010).

173.
A. Böttcher and S. Grudsky:
Variable-coefficient Toeplitz matrices with  symbols beyond the Wiener algebra.
Operator Theory: Adv. and Appl. 199, 192-202 (2010).

172.
A. Böttcher, S. Grudsky, and E. A. Maksimenko:
Inside the eigenvalues of certain Hermitian Toeplitz band matrices.
J. Comput. Appl. Math. 233, 2245-2264 (2010).

171.
A. Böttcher and I. Spitkovsky:
A gentle guide to the basics of two projections theory.
Linear Algebra Appl. 432, 1412-1459 (2010).

170.
A. Böttcher and P. Dörfler:
Weighted Markov-type inequalities, norms of Volterra operators, and zeros of Bessel functions.
Math. Nachr. 283, 40-57 (2010).

169.
A. Böttcher, S. Grudsky, and E. A. Maksimenko:
On the asymptotics of all eigenvalues of Hermitian Toeplitz band matrices (Russian).
Dokl. Akad. Nauk 428, 153-156 (2009);
Engl. transl. in Doklady Math. 80,  662-664 (2009).

168.
A. Böttcher and I. Spitkovsky:
Drazin inversion in the von Neumann algebra generated by two orthogonal projections.
J. Math. Analysis Appl. 358, 403-409 (2009).

167.
A. Böttcher, S. Kunis, and D. Potts:
Probabilistic spherical Marcinkiewicz-Zygmund inequalities.
J. Approx. Theory 157, 113-126 (2009).

166.
A. Böttcher,  S. Grudsky, E. A. Maksimenko, and J. Unterberger:
The first order asymptotics of the extreme eigenvectors of certain Hermitian Toeplitz matrices.
Integral Equations and Operator Theory 63, 165-180 (2009).

165.
A. Böttcher and P. Dörfler:
On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line.
Linear Algebra Appl. 430, 1057-1069 (2009).

164.
A. Böttcher and M. Lindner:
Pseudospectrum.
Scholarpedia 3(3):2680 (2008).

163.
A. Böttcher, S. Grudsky, and J. Unterberger:
Asymptotic pseudomodes of Toeplitz matrices.
Operators and Matrices 2, 525-541 (2008).

162.
A. Böttcher and D. Wenzel:
The Frobenius norm and the commutator.
Linear Algebra Appl. 429, 1864-1885 (2008).

161.
A. Böttcher:
Linear and one-dimensional.
In: Israel Gohberg and Friends (H. Bart, T. Hempfling, M. A. Kaashoek,
editors), pp. 291-293, Birkhäuser Verlag, Basel 2008.

160.
A. Böttcher and D. Wenzel:
Rigorous stochastic bounds for the error in large covariance matrices.
Math. Methods Appl. Sci. 31, 1209-1220 (2008).

159.
A. Böttcher:
Orthogonal symmetric Toeplitz matrices.
Complex Analysis and Operator Theory 2, 285-298 (2008).

158.
A. Böttcher, S. Grudsky, and E. A. Maksimenko:
Pushing the envelope of the test functions in the Szegö and Avram-Parter theorems.
Linear Algebra Appl. 429, 346-366 (2008).

157.
A. Böttcher, S. Grudsky, and E. A. Maksimenko:
The Szegö and Avram-Parter theorems for general test functions.
C. R. Math. Acad. Sci. Paris 346, 749-752 (2008).

156.
A. Böttcher, S. Grudsky, and M. Schwartz:
Some problems concerning the test functions in the Szegö and Avram-Parter theorems.
Operator Theory:  Adv. and Appl. 187, 81-93 (2008).

155.
A. Böttcher and S. Grudsky:
Uniform boundedness of Toeplitz matrices with variable coefficients.
Integral Equations Operator Theory 60, 313-328 (2008).

154.
A. Böttcher, A. Karlovich, and B. Silbermann:
Generalized Krein algebras and asymptotics of Toeplitz determinants.
Methods of Functional Analysis and Topology 13,  236-261 (2007).

153.
A. Böttcher and J. Virtanen:
Norms of Toeplitz matrices with Fisher-Hartwig symbols.
SIAM J. Matrix Analysis Appl. 29, 660-671 (2007).

152.
A. Böttcher and D. Potts:
Probability against condition number and sampling of multivariate trigonometric random polynomials.
Electronic Transactions on Numerical Analysis (ETNA) 26, 178-189 (2007) .

151.
A. Böttcher, Jesus Gutierrez-Gutierrez, and Pedro M. Crespo:
Mass concentration in quasicommutators of Toeplitz matrices.
J. Comput. Appl. Math. 205, 129-148 (2007).

150.
A. Böttcher, D. Potts, and D. Wenzel:
A probability argument in favor of ignoring small singular values.
Operators and Matrices 1, 31-43 (2007).

149.
Jesus Gutierrez-Gutierrez,  Pedro M. Crespo, and A. Böttcher:
Functions of banded Hermitian block Toeplitz matrices in signal processing.
Linear Algebra Appl. 422, 788-807 (2007).

148.
A. Böttcher and D. Wenzel:
On the verification of linear equations and the identification of the Toeplitz-plus-Hankel structure.
Operator Theory: Adv. and Appl. 170,  43-51 (2007).

147.
A. Böttcher and H. Widom:
Szegö via Jacobi.
Linear Algebra Appl. 419, 656-667 (2006).

146.
A. Böttcher:
Schatten norms of Toeplitz matrices with Fisher-Hartwig singularities.
Electronic Journal of Linear Algebra (ELA) 15, 251-259 (2006).

145.
A. Böttcher and H. Widom:
On the eigenvalues of certain canonical higher-order ordinary differential operators.
J. Math. Analysis Appl. 322, 990-1000 (2006).

144.
A. Böttcher and H. Widom:
From Toeplitz eigenvalues through Green's  kernels to higher-order Wirtinger-Sobolev inequalities.
Operator Theory:  Adv. and Appl. 171, 73-87 (2006).

143.
A. Böttcher:
Review of "Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators"
by L. N. Trefethen and M. Embree.
Linear Algebra Appl. 416, 1098-1101 (2006).

142.
A. Böttcher, B. Hofmann, U. Tautenhahn, and M. Yamamoto:
Convergence rates for Tikhonov regularization from different kinds of smoothness conditions.
Applicable Analysis 85, 555-578 (2006).

141.
Z. Hurak, A. Böttcher, and M. Sebek:
Minimum distance to the range of a banded lower triangular Toeplitz operator
in l^1 and application in l^1-optimal control.
SIAM J.  Control Optim. 45, 107-122 (2006).

140.
A. Böttcher:
On the problem of testing the structure of a matrix by displacement operations.
SIAM J. Numerical Analysis 44, 41-54 (2006).

139.
A. Böttcher, S. Grudsky, and E. Rami­rez de Arellano:
On the asymptotic behavior of the eigenvectors of large banded Toeplitz matrices.
Math. Nachr. 279, 121-129 (2006).

138.
A. Böttcher and H. Widom:
Two elementary derivations of the pure Fisher-Hartwig determinant.
Integral Equations Operator Theory 53, 593-596 (2005).

137.
A. Böttcher and P. Otte:
The first Szegö limit theorem for non-selfadjoint operators in the Følner algebra.
Mathematica Scandinavica 97, 115-126 (2005).

136.
A. Böttcher, I. Gohberg, and B. Silbermann:
Georg Heinig (1947-2005) In Memoriam.
Integral Equations Operator Theory 53, 297-300  (2005).

135.
A. Böttcher and S. Grudsky:
Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers.
Numerical Linear Algebra with Applications 12, 95-102 (2005).

134.
A. Böttcher and D. Wenzel:
How big can the commutator of two matrices be and how big is it typically?
Linear Algebra Appl. 403, 216-228 (2005).

133.
Z. Hurak and A. Böttcher:
MIMO l^1-optimal control via block Toeplitz operators.
In: Proceedings of 16th International Symposium on Mathematical Theory of Networks and
Systems (MTNS'04), Katholieke Universiteit Leuven 2004.

132.
A. Böttcher and K. Rost:
Topics in the numerical linear algebra of Toeplitz and Hankel matrices.
GAMM-Mitteilungen 27, 174-188 (2004).

131.
A. Böttcher, S. Grudsky, and E. Rami­rez de Arellano:
Approximating inverses of Toeplitz matrices by circulant matrices.
Methods and Applications of Analysis 11, 211-220 (2004).

130.
A. Böttcher:
The constants in the asymptotic formulas by Rambour and Seghier for inverses of Toeplitz matrices.
Integral Equations and Operator Theory 50, 43-55 (2004).

129.
A. Böttcher,  S. Grudsky, and E. Rami­rez de Arellano:
Algebras of Toeplitz operators with oscillating symbols.
Revista Matematica Iberoamericana  20, 647-671 (2004).

128.
A. Böttcher:
Transient behavior of powers and exponentials of large Toeplitz matrices.
Electronic Transactions on Numerical Analysis (ETNA)  18, 1-41 (2004).

127.
A. Böttcher and S. Grudsky:
Asymptotically good pseudomodes for Toeplitz matrices and Wiener-Hopf operators.
Operator Theory: Adv. and Appl. 147, 175-188 (2004).

126.
A. Böttcher and B. Silbermann:
Erhard Meister - friend and colleague.
Operator Theory: Adv. and Appl. 147,  p. 67 (2004).

125.
A. Böttcher and S. Grudsky:
Fejer means and norms of large Toeplitz matrices.
Acta Sci. Math. (Szeged)  69, 889-900 (2003).

124.
A. Böttcher, Yu. I. Karlovich, and I. Spitkovsky:
The C*-algebra of singular integral operators with semi-almost periodic coefficients.
J. Funct. Analysis  204, 445-484 (2003).

123.
A. Böttcher and S. Grudsky:
Toeplitz matrices with slowly growing pseudospectra.
In: Factorization, Singular Operators and Related Problems in Honour
of Georgii Litvinchuk (S. Samko, A. Lebre, A. F. dos Santos, eds.), pp. 43-54,
Kluwer Academic Publishers, Dordrecht 2003.

122.
A. Böttcher and S. Grudsky:
Asymptotic spectra of dense Toeplitz matrices are unstable.
Numerical Algorithms 33, 105-112 (2003).

121.
A. Böttcher and S. Grudsky:
The norm of the product of a large matrix and a random vector.
Electronic Journal of Probability , Vol. 8,  Paper no. 7, pages 1-29 (2003).

120.
A. Böttcher, S. Grudsky, and I. Spitkovsky:
Block Toeplitz operators with frequency-modulated semi-almost periodic symbols.
Int. J.  Math.  Math. Sci. 2003:34, 2157-2176 (2003).

119.
A. Böttcher, M. Embree, and V. I. Sokolov:
The spectra of  large Toeplitz band matrices with a randomly perturbed entry.
Mathematics of  Computation 72, 1329-1348 (2003).

118.
A. Böttcher, S. Grudsky, and I. Spitkovsky:
On the essential spectrum of Toeplitz operators with semi-almost periodic symbols.
Operator Theory: Adv. and Appl. 142, 59-77 (2003).

117.
D. Bini and A. Böttcher:
Polynomial factorization through Toeplitz matrix computations.
Linear Algebra Appl. 366, 25-37 (2003).

116.
A. Böttcher, M. Embree, and V. I. Sokolov:
On large Toeplitz band matrices with an uncertain block.
Linear Algebra Appl. 366, 87-97 (2003).

115.
A. Böttcher, M. Embree, and L. N. Trefethen:
Piecewise continuous Toeplitz matrices and operators: slow approach to infinity.
SIAM J. Matrix Analysis Appl. 24, 484-489 (2002).

114.
A. Böttcher:
Essay on Bernd Silbermann.
Operator Theory: Adv. and Appl. 135, 1-12 (2002).

113.
A. Böttcher:
On the determinant formulas by Borodin, Okounkov, Baik, Deift, and Rains.
Operator Theory: Adv. and Appl. 135,  91-99 (2002).

112.
A. Böttcher, S. Grudsky, and A. Kozak:
On the distance of a large Toeplitz band matrix to the nearest singular matrix.
Operator Theory: Adv. and Appl. 135, 101-106 (2002).

111.
A. Böttcher and S. Grudsky:
Can spectral value sets of Toeplitz band matrices jump?
Linear Algebra Appl. 351/352, 99-116 (2002).

110.
A. Böttcher, M. Embree, and M. Lindner:
Spectral approximation of banded Laurent matrices with localized random perturbations.
Integral Equations and Operator Theory 42, 142-165 (2002).

109.
A. Böttcher, M. Embree, and V. I. Sokolov:
Infinite Toeplitz and Laurent matrices with localized impurities.
Linear Algebra Appl. 343/344, 101-118 (2002).

108.
A. Böttcher and Yu. I. Karlovich:
Cauchy's singular integral operator and its beautiful spectrum.
Operator Theory: Adv. and Appl. 129, 109-142 (2001).

107.
A. Böttcher and S. Grudsky:
Condition numbers of large Toeplitz-like matrices.
Contemp. Math. 280, 273-299 (2001).

106.
A. Böttcher, S. Grudsky, and I. Spitkovsky:
Toeplitz operators with frequency modulated semi-almost periodic symbols.
J. Fourier Analysis Appl. 7, 523-535 (2001).

105.
A. Böttcher and M. Seybold:
Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight.
Algebra i Analiz 13, 116-129 (2001) and  St. Petersburg Math. J. 13, 241-252 (2002).

104.
A. Böttcher:
One more proof of the Borodin-Okounkov formula for Toeplitz determinants.
Integral Equations and Operator Theory 41, 123-125 (2001).

103.
A. Böttcher, Yu. I. Karlovich, and I. Spitkovsky:
Toeplitz operators with semi-almost periodic matrix symbols on Hardy spaces.
Acta Applicandae Mathematicae 65, 115-136 (2001).

102.
A. Böttcher, A. V. Chithra, and M. N. N. Namboodiri:
Approximation of approximation numbers by truncation.
Integral Equations and Operator Theory 39, 387-395 (2001).

101.
A. Böttcher, Yu. I. Karlovich, and V. S. Rabinovich:
Singular integral operators with complex conjugation from the viewpoint of  pseudodifferential operators.
Operator Theory: Adv. and Appl. 121, 36-59  (2001).

100.
A. Böttcher and S. Grudsky:
Twenty old and new asymptotic results on Toeplitz band matrices.
In: Structured Matrices: Recent Developments in Theory and Computation
(D. A. Bini, E. Tyrtyshnikov, P. Yalamov, eds.), pp. 1-10,
Nova Science Publishers, Huntington, NY, 2001.

99.
A. Böttcher:
C*-algebras in numerical analysis.
Irish Math. Soc. Bulletin 45, 57-133 (2000).

98.
A. Böttcher and M. Seybold:
Discrete Wiener-Hopf operators on spaces with Muckenhoupt weight.
Studia Math. 143, 121-144 (2000).

97.
A. Böttcher, S. Grudsky, and I. Spitkovsky:
The spectrum is discontinuous on the manifold of Toeplitz operators.
Archiv d. Math. 75, 46-52 (2000).

96.
A. Böttcher, S. Grudsky, and I. Spitkovsky:
Matrix functions with arbitrarily prescribed left and right partial indices.
Integral Equations and Operator Theory 36, 71-91 (2000).

95.
A. Böttcher, S. Grudsky, and I. Spitkovsky:
On the Fredholm indices of associated systems of Wiener-Hopf equations.
J. Integral Equations Appl. 12, 1-29 (2000).

94.
A. Böttcher, Yu. I. Karlovich, and V. S. Rabinovich:
The method of limit operators for one-dimensional singular integrals with slowly oscillating data.
J. Operator Theory 43, 171-198 (2000).

93.
A. Böttcher and S. Grudsky:
Eighteen old and new asymptotic results on Toeplitz band matrices.
In: Large-Scale Scientific Computations of Engineering and Environmental
Problems II (M. Griebel, S. Margenov, P. Yalamov, eds.), pp. 65-71,
Vieweg, Braunschweig 2000.

92.
A. Böttcher and M. Seybold:
Wackelsatz and Stechkin's inequality for discrete Muckenhoupt weights.
Preprint 99-7, 12 pages, TU Chemnitz, Fakultät für Mathematik, Chemnitz  1999
(will not be submitted for publication; contains full proofs to two
basic theorems used in paper No. 98).

91.
A. Böttcher, S. Grudsky, A. Kozak, and B. Silbermann:
Convergence speed estimates for the norms of the inverses of large truncated Toeplitz matrices.
Calcolo 36, 103-122 (1999).

90.
A. Böttcher, S. Grudsky, A. Kozak, and B. Silbermann:
Norms of large Toeplitz band matrices.
SIAM J. Matrix Analysis Appl. 21, 547-561 (1999).
 
 

With Sergei Grudsky and Ilya Spitkovsky in my office
 
 

89.
A. Böttcher and S. Grudsky:
Toeplitz band matrices with exponentially growing condition numbers.
Electronic Journal of Linear Algebra (ELA) 5, 104-125 (1999).

88.
C.J. Bishop, A. Böttcher, Yu. I. Karlovich, and I. Spitkovsky:
Local spectra and index  of singular integral operators with piecewise
continuous coefficients on composed curves.
Math. Nachr. 206, 5-83 (1999).

87.
A. Böttcher and  Yu. I. Karlovich:
Toeplitz operators with PC symbols on general Carleson Jordan curves
with arbitrary Muckenhoupt weights.
Trans. Amer. Math. Soc. 351, 3143-3196 (1999).

86.
A. Böttcher:
On the corona theorem for almost periodic functions.
Integral Equations and Operator Theory 33, 253-272 (1999).

***** *****

The total solar eclipse of 11 August 1999. I took these two pictures with
a usual autofocus camera in Ensheim (Saar).  Here is some corona mathematics.

85.
A. Böttcher and S. Grudsky:
On the composition of Muckenhoupt weights and inner functions.
J. London Math. Soc. 58, 172-184 (1998).

84.
A. Böttcher and S. Grudsky:
On the condition numbers of large semi-definite Toeplitz matrices.
Linear Algebra Appl. 279, 285-301 (1998).

83.
A. Böttcher, Yu. I. Karlovich, and V. S. Rabinovich:
Mellin pseudodifferential operators with slowly varying symbols
and singular integrals on Carleson curves with Muckenhoupt weights.
Manuscripta Mathematica 95, 363-376  (1998).

82.
A. Böttcher and  Yu. I. Karlovich:
The algebra of singular integral operators on a Lebesgue space with
a Muckenhoupt weight on a closed Carleson curve (Russian).
Dokl. Akad. Nauk 359, 151-154 (1998);
Engl. transl. in Doklady Math. 57, 193-196 (1998).

81.
A. Böttcher:
On the approximation numbers of large Toeplitz matrices.
Documenta Mathematica 2, 1-29  (1997).

80.
A. Böttcher, S. Grudsky, and B. Silbermann:
Norms of inverses, spectra, and pseudospectra of large truncated
Wiener-Hopf operators and Toeplitz matrices.
New York J. Math. 3, 1-31  (1997).

79.
A. Böttcher and  Yu. I. Karlovich:
The algebra of singular integral operators on the Lebesgue space
on a closed Carleson curve (Russian).
Dokl. Akad. Nauk 357, 7-10 (1997);
Engl. transl. in  Doklady Math. 56, 813-816  (1997).
 

With Yuri Karlovich in Key West

78.
A. Böttcher and H. Wolf:
Spectral approximation for Segal-Bargmann space Toeplitz operators.
In: Linear Operators, Banach Center Publ., Vol. 38, pp. 25-48, PAN,  Warsaw 1997.

77.
A. Böttcher:
Review of  ''Spectral Theory of Approximation Methods for Convolution
Operators'' by R. Hagen, S. Roch,  and B. Silbermann.
Bull. Amer. Math. Soc. 33, 237-243 (1996).

76.
A. Böttcher:
Infinite matrices and projection methods.
In: Lectures on Operator Theory and Its Applications (P. Lancaster, ed.), pp. 1-72,
Fields Institute Monographs, Vol. 3, Amer. Math. Soc., Providence, RI, 1996.

75.
A. Böttcher and H. Heidler:
Characteristic polynomials of composition operators.
In: Proc. European Conf. on Iteration Theory, Batschuns, Austria, 1992, pp. 279-280,
World Scientific Publishing Co., Singapore 1996.

74.
A. Böttcher and  Yu. I. Karlovich:
Toeplitz and singular integral operators on general Carleson Jordan curves.
Operator Theory: Adv. and Appl. 90, 119-152  (1996).

73.
A. Böttcher and S. Grudsky:
Toeplitz operators with discontinuous symbols: phenomena beyond piecewise discontinuity.
Operator Theory: Adv. and Appl. 90, 55-118 (1996).

72.
A. Böttcher,  I. Gohberg, Yu. I. Karlovich, N. Krupnik, S. Roch,
B. Silbermann, and I. Spitkovsky:
Banach algebras generated by N idempotents and applications.
Operator Theory: Adv. and Appl. 90, 19-54  (1996).

71.
A. Böttcher, Yu. I. Karlovich, and V. S. Rabinovich:
Emergence, persistence, and disappearance of logarithmic spirals in the
spectra of singular integral operators.
Integral Equations and Operator Theory 25, 406-444 (1996).

70.
A. Böttcher:
Mathematischer Beweis versus Computerexperiment.
In: Wiss. Kolloquium "Zum Nutzen von Grundlagenforschung",
Villa Hügel, 30. November 1995, pp. 39-42, Krupp-Stiftung, Essen 1996.

69.
A. Böttcher and Yu. I. Karlovich:
Submultiplicative functions and spectral theory of Toeplitz operators.
Integral Transforms and Special Functions 4, 181-202 (1996).

68.
A. Böttcher and H. Wolf:
Polynomial collocation over massive sets for Toeplitz integral equations on the Bergman space.
J. Computational and Applied Math. 66, 89-96 (1996).

67.
A. Böttcher and B. Silbermann:
Infinite Toeplitz and Hankel matrices with operator-valued symbols.
SIAM J. Math. Analysis 27, 805-822 (1996).

66.
A. Böttcher:
Toeplitz operators with piecewise continuous symbols - a neverending story?
Jahresbericht der DMV 97, 115-129 (1995).
 

With Yuri Karlovich in Barcelona

65.
A. Böttcher and Yu. I. Karlovich:
Toeplitz and singular integral operators on Carleson curves with logarithmic whirl points.
Integral Equations and Operator Theory 22, 127-161 (1995) .

64.
A. Böttcher and H. Heidler:
Algebraic and essentially algebraic composition operators on C(X).
Aequationes Mathematicae 49, 276-294 (1995).

63.
A. Böttcher and H. Wolf:
Analytic element collocation over geodesic circles for Bergman space Toeplitz operators.
In: Proc. Internat. Conf. Differential Geometry, Hamiltonian Systems,
and Operator Theory, Kingston, Jamaica,  1994, pp. 69-87,
University of the West Indies Press, Mona 1995.

62.
A. Böttcher:
The Onsager formula, the Fisher-Hartwig conjecture, and their
influence on research into Toeplitz operators.
J. Statist. Physics 78 (Lars Onsager Festschrift), 575-585 (1995).

61.
A. Böttcher:
Pseudospectra and singular values of large convolution operators.
J. Integral Equations Appl. 6, 267-301 (1994).

60.
A. Böttcher and I. Spitkovsky:
Pseudodifferential operators with heavy spectrum.
Integral Equations and Operator Theory 19, 251-269 (1994).

59.
A. Böttcher, B. Silbermann, and H. Widom:
Determinants of truncated Wiener-Hopf operators with
Hilbert-Schmidt kernels and piecewise continuous symbols.
Archiv d. Math. 63, 60-71 (1994).

58.
A. Böttcher, B. Silbermann, and H. Widom:
A continuous analogue of the Fisher-Hartwig formula for piecewise continuous symbols.
J. Funct. Analysis 122, 222-246 (1994).

57.
A. Böttcher and B. Silbermann:
Operator-valued Szegö-Widom limit theorems.
Operator Theory: Adv. and Appl. 71, 33-53 (1994).

56.
A. Böttcher and H. Widom:
Two remarks on spectral approximations for Wiener-Hopf operators.
J. Integral Equations Appl. 6, 31-36 (1994).

My Erdös number is 3.

55.
A. Böttcher, Yu. I. Karlovich, and I. Spitkovsky:
Toeplitz operators with semi-almost periodic symbols on spaces with Muckenhoupt weight.
Integral Equations and Operator Theory 18, 261-276 (1994).
 

Dinner with Ilya Spitkovsky and Yuri Karlovich
 

54.
A. Böttcher, Yu. I. Karlovich,  and B. Silbermann:
Singular integral operators with PQC coefficients and freely transformed argument.
Math. Nachr. 166, 113-133 (1994).

53.
A. Böttcher:
Magnete, Determinanten und Fourier-Summen.
Spektrum der Wissenschaft 3/1994, 25-27 (1994).

52.
A. Böttcher and H. Wolf:
Asymptotic invertibility of Bergman and Bargmann space Toeplitz operators.
Asymptotic Analysis 8, 15-33 (1994).

51.
A. Böttcher and B. Silbermann:
Axler-Chang-Sarason-Volberg theorems for harmonic approximation and stable convergence.
In: Linear and Complex Analysis Problem Book 3,
Part I (V. P. Havin, N. K. Nikolski, eds.), pp. 340-341,
Lecture Notes in Math., Vol. 1573, Springer-Verlag 1994.

50.
A. Böttcher and H. Heidler:
Classification of finite-dimensional algebras generated by the
Calkin image of a composition operator on l^p with weight.
Algebra i Analiz 5, 69-96 (1993) and St. Petersburg Math. J. 5, 1099-1119 (1994).

49.
A. Böttcher:
Toeplitz operators on the disk with locally sectorial symbols.
Rocky Mountain J. Math. 23, 803-816 (1993).

48.
A. Böttcher and I. Spitkovsky:
On a theorem of Rooney concerning the spectrum of the singular integral operator.
Z. Analysis Anw. 12, 93-96 (1993).

47.
A. Böttcher and H. Wolf:
Galerkin-Petrov methods for Bergman space Toeplitz operators.
SIAM J. Numer. Analysis 30, 846-863 (1993).

46.
A. Böttcher and I. Spitkovsky:
Wiener-Hopf integral operators with PC symbols on spaces with Muckenhoupt weight.
Revista Matematica Iberoamericana 9, 257-279 (1993).

45.
A. Böttcher and H. Wolf:
Interpolation in the Bergman space, mean values of harmonic functions,
and an inverse problem of potential theory.
Wiss. Z. TU Chemnitz 34, 31-35 (1992).

44.
A. Böttcher and H. Heidler:
Algebraic composition operators.
Integral Equations and Operator Theory 15, 389-411 (1992).

43.
A. Böttcher and H. Wolf:
Collocation methods for Toeplitz operators on Dzhrbashyan spaces (Russian).
Bull. Armen. Acad. Sci. 93, 168-172 (1992).

42.
A. Böttcher and H. Wolf:
Large sections of Bergman space Toeplitz operators with piecewise continuous symbols.
Math. Nachr. 156, 129-155 (1992).

41.
A. Böttcher:
Invertible values of elementary operators and projection methods for Toeplitz operators.
In:  Proc. Internat. Conf. on Elementary Operators,  Blaubeuren 1991,  pp. 157-161,
World Scientific Publishing Co., Singapore 1992.

40.
A. Böttcher and H. Wolf:
Finite sections of segal-Bargmann space Toeplitz operators with polyradially continuous symbols.
Bull. Amer. Math. Soc. 25, 365-372 (1991).

39.
A. Böttcher and I. Spitkovsky:
Toeplitz operators with  PQC symbols on weighted Hardy spaces.
J. Funct. Analysis 97, 194-214 (1991).

38.
A. Böttcher, S. Roch, B. Silbermann, and I. Spitkovsky:
A Gohberg-Krupnik-Sarason symbol calculus for algebras of Toeplitz,
Hankel, Cauchy, and Carleman operators.
Operator Theory: Adv. and Appl. 48, 189-234 (1990).

37.
A. Böttcher, B. Silbermann, and I. Spitkovsky:
Toeplitz operators with piecewise quasisectorial symbols.
Bull. London Math. Soc. 22, 281-286 (1990).

36.
A. Böttcher:
Truncated Toeplitz operators on the polydisk.
Monatshefte f. Math. 110, 23-32 (1990).

35.
A. Böttcher and H. Heidler:
On linear functional equations with two involutions.
Seminar Analysis 1989/90, 31-43 (1990).

34.
A. Böttcher:
Status report on rationally generated block Toeplitz and Wiener-Hopf determinants.
Unpublished manuscript, 1989.

33.
A. Böttcher:
Wiener-Hopf determinants with rational symbols. 
Math. Nachr. 144, 39-64 (1989).

32.
A. Böttcher:
On Mikaelyan's conjecture in the theory of Wiener-Hopf-determinants (Russian).
Izv. Armen. Akad. Nauk 24, 188-192 (1989);
Engl. transl. in  Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 24, 85-89 (1989).

31.
A. Böttcher and S. Dzhirgalova:
On Wiener-Hopf determinants with rational matrix symbols.
Seminar Analysis 1988/89, 21-39 (1989).

30.
A. Böttcher, N. Krupnik, and B. Silbermann:
A general look at local principles with special emphasis on the norm computation aspect.
Integral Equations and Operator Theory 11, 455-479 (1988).

29.
A. Böttcher and B. Silbermann:
Asymptotics of Toeplitz and Wiener-Hopf operators.
In: Proc. 9th Conf.  Probl. and Meth. in Math. Phys., Karl-Marx-Stadt 1988, pp. 27-35,
Teubner 1988.

28.
A. Böttcher:
Asymptotic formulas for rationally generated block Toeplitz determinants.
Seminar Analysis 1987/88, 1-13 (1988).

27.
A. Böttcher and B. Silbermann:
Toeplitz operators with symbols from C+H^\infty in the spaces l^p (Russian).
Zap. Nauchn. Sem. LOMI 157, 124-128 (1987);
Engl. transl. in  J. Soviet Math. 44, 834-836 (1989).

26.
A. Böttcher:
Multidimensional Toeplitz operators with locally sectorial symbols.
Seminar Analysis 1986/87, 1-16 (1987).

25.
A. Böttcher and B. Silbermann:
Local spectra of approximate identities, cluster sets, and Toeplitz operators.
Wiss. Zeitschr. TH Karl-Marx-Stadt 28, 175-180 (1986).

24.
A. Böttcher:
On Toeplitz operators generated by symbols with three essential cluster points.
Preprint P-Math-04/86, 22 pages, Karl-Weierstrass-Institut,
Berlin 1986 (never published but often cited).

23.
A. Böttcher and B. Silbermann:
Toeplitz operators and determinants generated by symbols with one Fisher-Hartwig singularity. 
Math. Nachr. 127, 95-124 (1986).

22.
A. Böttcher, S. Roch, and B. Silbermann:
Local constructions and Banach algebras associated with Toeplitz operators on H^p. 
Seminar Analysis 1985/86, 23-30 (1986).

21.
A. Böttcher:
A remark on the relation between the partial indices of a matrix
function and its harmonic extension.
Seminar Analysis 1985/86, 19-22 (1986).

20.
A. Böttcher:
Scalar Toeplitz operators, distance estimates, and localization over subalgebras of C+H^\infty.
Seminar Analysis 1985/1986, 1-17 (1986).

19.
A. Böttcher and B. Silbermann:
Toeplitz matrices and determinants with Fisher-Hartwig symbols.
J. Funct. Analysis 63, 178-214 (1985).

18.
A. Böttcher and B. Silbermann:
Toeplitz determinants generated by symbols with one singularity of  Fisher-Hartwig type. 
Wiss. Zeitschr. TH Karl-Marx-Stadt 26, 186-188 (1984).

17.
A. Böttcher and B. Silbermann:
Toeplitz determinants with symbols from the Fisher-Hartwig class (Russian).
Dokl. Akad. Nauk SSSR 278, 13-16 (1984);
Engl. transl. in Soviet Math. Dokl. 30, 301-304 (1984).

16.
A. Böttcher:
The finite section method for two-dimensional Wiener-Hopf operators
in L^p with piecewise continuous symbols.
Math. Nachr. 116, 61-73 (1984).

15.
A. Böttcher:
The finite section method for Wiener-Hopf integral operators with
piecewise continuous symbols in the spaces L^p (Russian).
Funkts. Anal. Prilozh. 18, 55-56 (1984);
Engl. transl. in Funct. Anal. Appl. 18, 132-133 (1984).

14.
A. Böttcher:
Fredholmness and finite section method for Toeplitz operators in  l^p(Z_+ \times Z_+), II.
Z. Analysis Anw. 3, 191-202 (1984).

13.
A. Böttcher:
Fredholmness and finite section method for Toeplitz operators in l^p(Z_+ \times Z_+).
Z. Analysis Anw. 3, 97-110 (1984).

12.
A. Böttcher:
Das Reduktionsverfahren für nichtelliptische Wiener-Hopf'sche
Integraloperatoren in einer Klasse von topologischen Vektorräumen.
Wiss. Zeitschr. TH Karl-Marx-Stadt 25, 308-312 (1983).

11.
A. Böttcher:
Fredholm theory and finite section method for two-dimensional
Wiener-Hopf operators with piecewise continuous symbols (Russian).
Dokl. Akad. Nauk SSSR 273, 1298-1300 (1983);
Engl. transl. in Soviet Math. Dokl. 28, 773-776 (1983).

10.
A. Böttcher:
Two-dimensional convolutions in angles with kernels supported in a half-plane (Russian).
Matem. Zametki 34, 207-218 (1983);
Engl. transl. in  Math. Notes 34, 585-591 (1983).

9.
A. Böttcher and B. Silbermann:
The finite section method for Toeplitz operators on the quarter-plane with piecewise continuous symbols.
Math. Nachr. 110, 279-291 (1983).

8.
A. Böttcher and B. Silbermann:
Wiener-Hopf determinants with symbols having zeros of analytic type.
Seminar Analysis 1982/83, 224-243 (1983) .

7.
A. Böttcher:
Toeplitzdeterminanten in der statistischen Physik.
In:  Ergebnisse d. Schule  Junger Wissenschaftler zur Math. Physik, pp. 19-21,
Pruchten 1982.

6.
A. Böttcher:
On two-dimensional Wiener-Hopf integral equations with a degenerate symbol (Russian).
Math. Nachr. 109, 195-213 (1982).

5.
A. Böttcher and A. E. Pasenchuk:
On the invertibility of Wiener-Hopf operators on the quarter-plane (Russian).
In:  Differential and Integral Equations, pp. 9-19, Elista 1982.

4.
A. Böttcher:
Toeplitz determinants with piecewise continuous generating function.
Z. Analysis Anw. 1, 23-39 (1982).

3.
A. Böttcher and B. Silbermann:
Über das Reduktionsverfahren für diskrete Wiener-Hopf-Gleichungen mit unstetigem Symbol.
Z. Analysis Anw. 1, 1-5 (1982).

2.
A. Böttcher and B. Silbermann:
The asymptotic behavior of Toeplitz determinants for generating functions with zeros of integral orders.
Math. Nachr. 102, 79-105 (1981).

1.
A. Böttcher and B. Silbermann:
Notes on the asymptotic behavior of block Toeplitz matrices and determinants.
Math. Nachr. 98, 183-210 (1980).

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