With Ilya Spitkovsky in Bordeaux
****************************************************************************
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).
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).
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).
131.
A. Böttcher, S. Grudsky, and E. Ramírez
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. Ramírez
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:
Fejér
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.
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 asymtotic 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 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).
**********************************************************************