Book

	Plonka, G., Potts, D., Steidl, G.,Tasche, M. Numerical Fourier Analysis. ANHA, Birkhäuser, ISBN 978-3-030-04305-6 Second Edition : ISBN 978-3-031-35004-7, eBook 978-3-031-35005-4 Slides for flipped classroom lectures: lecture course I, based on Chapter 1, 2, 3, 5, 7 lecture course II, based on Chapter 4, 8, 9,10

This book is available via springer or springer-online. This Second Edition 2023 is available via springer or springer-online.

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Papers in Journals

Akhalaya, K., Nestler, F., Potts, D. Fast and interpretable Support Vector Classification based on the truncated ANOVA decomposition. GAMM-Mitteilungen, arXiv:2402.02438   (full paper pdf)   2024
Potts, D., Weidensager, L., Variable Transformations in combination with Wavelets and ANOVA for high-dimensional approximation. Adv. Comput. Math., 50:53 arXiv:2207.12826   (full paper pdf)   2024
Schröter, P., Potts, D. ANOVA approximation with mixed tensor product basis on scattered points. Linear Algebra Appl., accepted, arXiv:2306.09174   (full paper pdf)   2024
Kircheis, M., Potts, D., Tasche, M. On numerical realizations of Shannon's sampling theorem. Sampling Theory, Signal Processing, and Data Analysis, 22:13 arXiv:2306.17594   (full paper pdf)   2024
Bartel, F., Kämmerer, L., Potts, D., Ullrich, T. On the reconstruction of functions from values at subsampled quadrature points. Math. Comp. 93, 785-809, arXiv:2208.13597   (full paper pdf)   2023
Kircheis, M., Potts, D. Fast and direct inversion methods for the multivariate nonequispaced fast Fourier transform. Front. Appl. Math. Stat. (Section: Mathematics of Computation and Data Science, RT: Horizons in Applied Mathematics and Statistics), 9:1155484,   arXiv:2303.00414   (full paper pdf, Frontiers),   2023
Lippert, L., Potts, D., Ullrich, T. Fast Hyperbolic Wavelet Regression meets ANOVA. Numerische Mathematik 154, 155-207, arXiv:2108.13197   (full paper pdf)   2023
Kämmerer, L., Potts, D., Taubert, F. Nonlinear approximation in bounded orthonormal product bases., Sampling Theory, Signal Processing, and Data Analysis, 21:19 arXiv:2211.06071   (full paper pdf)   2023
Lakshmanan, R., Pichler, A., Potts, D. Fast Fourier Transform Boost for the Sinkhorn Algorithm. Electron. Trans. Numer. Anal., 58, 289-315,   arXiv:2201.07524   (full paper pdf)   2023
Kircheis, M., Potts, D., Tasche, M. Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms. Numerical Algorithms 92, 2307-2339, arXiv:2107.02671   (full paper pdf)   2023
Kircheis, M., Potts, D., Tasche, M. On regularized Shannon sampling formulas with localized sampling. Sampling Theory, Signal Processing, and Data Analysis, 20:19 arXiv:2203.09973   (full paper pdf)   2022
Kämmerer, L., Potts, D., Taubert, F. The uniform sparse FFT with application to PDEs with random coefficients. Sampling Theory, Signal Processing, and Data Analysis, 20:19 arXiv:2109.04131   (full paper pdf)   2022
Potts, D., Schmischke, M. Interpretable transformed ANOVA approximation on the example of the prevention of forest fires. Front. Appl. Math. Stat. (Section: Mathematics of Computation and Data Science), 8:795250,   arXiv:2110.07353   (full paper pdf, Frontiers,   2022
Potts, D., Schmischke, M. Learning multivariate functions with low-dimensional structures using polynomial bases. J. Comput. App. Math., 403, 113821, arXiv:1912.03195   (full paper pdf)   2022
Bartel, F., Potts, D., Schmischke, M. Grouped Transformations in High-Dimensional Explainable ANOVA Approximation. SIAM J. Sci. Comput., 44, A1606-A1631, arXiv:2010.10199   (full paper pdf)   2022
Potts, D., Tasche, M. Uniform error estimates for nonequispaced fast Fourier transforms. Sampl. Theory Signal Process. Data Anal., 19:17, arXiv:1912.09746   (full paper pdf)   2021
Potts, D., Schmischke, M. Interpretable Approximation of High-Dimensional Data. SIAM J. Math. Data. Sci. 3:1301-1323, arXiv:2103.13787   (full paper pdf, related software), )   2021
Potts, D., Tasche, M. Continuous window functions for NFFT. Adv. Comput. Math. 47:53, arXiv:2010.06894   (full paper pdf)   2021
Potts, D., Schmischke, M. Approximation of high-dimensional periodic functions with Fourier-based methods. SIAM J. Numer. Anal. 59, 2393-2429, arXiv:1907.11412   (full paper pdf),   SIAM Student Paper Prize 2023,   2021
Nasdala, R., Potts, D. Efficient multivariate approximation on the cube. Numer. Math. 147, 393-429, Open Access:doi   (full paper pdf)   2021
Kämmerer, L., Potts, D., Volkmer, T. High-dimensional sparse FFT based on sampling along multiple rank-1 lattices. Appl. Comput. Harm. Anal. 51, 225-257, arXiv:1711.05152   (full paper pdf)   2021
Bochmann, M., Kämmerer, L., Potts, D. A sparse FFT approach for ODE with random coefficients. Adv. Comput. Math. 46 (5), 1-21, arXiv:1901.01600   (full paper pdf)   2020
Bartel, F., Hielscher, R., Potts, D. Fast Cross-validation in Harmonic Analysis. Appl. Comput. Harm. Anal., 49, 415-437,   arXiv:1903.10206   (full paper pdf)   2020
Nasdala, R., Potts, D. Transformed Rank-1 Lattices for high-dimensional approximation. Electron. Trans. Numer. Anal., 53, 239-282,   arXiv:1805.09106   (full paper pdf)   2020
Kircheis, M., Potts, D. Direct inversion of the nonequispaced fast Fourier transform. Linear Algebra Appl., 575, 106-140, arXiv:1811.05335   (full paper pdf)   2019
Weeber, R., Nestler, F., Weik, F., Pippig, M., Potts, D., Holm C. Accelerating the calculation of dipolar interactions in particle based simulations with open boundary conditions by means of the P2NFFT method. J. Comput. Phys. 391, 243-258, arXiv:1808.10341   (full paper pdf)   2019
Alfke, D., Potts, D., Stoll M., Volkmer, T. NFFT meets Krylov methods: Fast matrix-vector products for the graph Laplacian of fully connected networks. Front. Appl. Math. Stat. (Section: Mathematics of Computation and Data Science), 4:61,   arXiv:1808.04580   (full paper pdf, Frontiers, related software),   2018
Potts, D., Tasche, M., Volkmer, T. Efficient spectral estimation by MUSIC and ESPRIT with application to sparse FFT. Front. Appl. Math. Stat. (Section: Mathematics of Computation and Data Science), 2:1,   (full paper pdf, Frontiers, related software),   2016
Potts, D., Tasche, M. Reconstruction of sparse Legendre and Gegenbauer expansions. BIT 56, 1019-1043,   (full paper pdf),   2016
Junghanns, P., Kaiser, R., Potts, D. Collocation–quadrature methods and fast summation for Cauchy singular integral equations with fixed singularities. Linear Algebra Appl. 491, 187-238,   (full paper pdf),   2016
Potts, D., Volkmer, T. Sparse high-dimensional FFT based on rank-1 lattice sampling. Appl. Comput. Harm. Anal. 41, 713-748,   (full paper pdf, DOI, related software),   2016
Kämmerer, L., Potts, D., Volkmer, T. Approximation of multivariate periodic functions by trigonometric polynomials based on rank-1 lattice sampling. J. Complexity 31, 543-576,   (full paper pdf, extended Preprint),   2015
Nestler, F., Pippig, M., Potts, D. Fast Ewald Summation based on NFFT with Mixed Periodicity. J. Comput. Phys. 285, 280-315,   (full paper pdf),   2015
Potts, D., Tasche, M. Fast ESPRIT algorithms based on partial singular value decompositions. Appl. Numer. Math. 88, 31-45,   (full paper pdf, ApplNumerMath_PDF),   2015
Kämmerer, L., Potts, D., Volkmer, T. Approximation of multivariate periodic functions by trigonometric polynomials based on sampling along rank-1 lattice with generating vector of Korobov form. J. Complexity 31, 424 -456,   (full paper pdf),   2015
Potts, D., Tasche, M. Sparse polynomial interpolation in Chebyshev bases. Linear Algebra Appl. 441, 61-87,   (full paper pdf, LAA_PDF),   2014
Arnold, A., Bolten, M., Dachsel, H., Fahrenberger, F., Gähler, F., Halver, R. Heber, F., Hofmann, M., Holm, C., Iseringhausen, J., Kabadshow, I., Lenz, O., Pippig, M., Potts, D. Sutmann, G. A Comparison of Scalable Fast Methods for Long-Range Interactions. Phys. Rev. E, 88, 063308,   (full paper pdf),   2013
Pippig, M., Potts, D. Parallel Three-Dimensional Nonequispaced Fast Fourier Transforms and Their Application to Particle Simulation. SIAM J. Sci. Comput., 35, C411-C437   (full paper pdf),   2013
Potts, D., Tasche, M. Parameter estimation for multivariate exponential sums. Electron. Trans. Numer. Anal., 40, 204-224   (full paper pdf),   2013
Potts, D., Tasche, M. Parameter estimation for nonincreasing exponential sums by Prony-like methods. Linear Algebra Appl. 439, 1024-1039,   (full paper pdf),   2013
Gräf, M., Potts, D., Steidl, G. Quadrature rules, discrepancies and their relations to halftoning on the torus and the sphere. SIAM J. Sci. Comput. 34, A2760-A2791,   (full paper pdf, see also Quadrature rules on manifolds),   2012
Kämmerer, L., Kunis, S., Potts, D. Interpolation lattices for hyperbolic cross trigonometric polynomials. J. Complexity 28, 76-92,   (full paper pdf),   2012
Gräf, M., Potts, D. On the computation of spherical designs by a new optimization approach based on fast spherical Fourier transforms. Numer. Math. 119, 699-724, (full paper pdf, see also Quadrature rules on manifolds),   2011
Peter, T., Potts, D., Tasche M. Nonlinear approximation by sums of exponentials and translates. SIAM J. Sci. Comput. 33, 1920-1947,   (full paper pdf),   2011
Backofen, R., Gräf, M., Potts, D., Praetorius, S., Voigt, A., Witkowski, T. A continuous approach to discrete ordering on S^2. Multiscale Model. Simul. 9, 314-334,   (full paper pdf),   2011
Potts, D., Tasche M. Nonlinear approximation by sums of nonincreasing exponentials. Appl. Anal. 90, 609-626,   (full paper ps, pdf),   2011
Filbir, F., Potts, D. Scattered data approximation on the bi-sphere and application to texture analysis. Math. Geosci. 42, 747-771,   (full paper ps, pdf, Proof of Theorem 4.5 ),   2010
Döhler, M., Kunis, S., Potts, D. Nonequispaced hyperbolic cross fast Fourier transform. SIAM J. Numer. Anal. 47, 4415-4428,   (full paper ps, pdf),   2010
Potts, D., Tasche M. Parameter estimation for exponential sums by approximate Prony method. Signal Process. 90, 1631-1642,   (full paper ps, pdf),   2010
Potts, D., Prestin J., Vollrath A. A Fast algorithm for nonequispaced Fourier transforms on the rotation group. Numer. Algorithms, 52, 355 - 384,   (full paper ps, pdf),   2009
Keiner, J., Kunis, S., Potts, D. Using NFFT 3 - a software library for various nonequispaced fast Fourier transforms ACM Trans. Math. Software, 36, Article 19, 1-30,   (full paper ps, pdf)   2009
Gräf, M., Potts, D. Sampling sets and quadrature formulae on the rotation group. Numer. Funct. Anal. Optim. 30, 665-688,   (full paper ps, pdf),   2009
Gräf, M., Kunis, S., Potts, D. On the computation of nonnegative quadrature weights on the sphere. Appl. Comput. Harm. Anal. 27, 124-132,   (full paper ps, pdf),   2009
Böttcher, A., Kunis, S., Potts, D. Probabilistic spherical Marcinkiewicz-Zygmund inequalities. J. Approx. Theory 157, 113-126,   (full paper ps, pdf),   2009
Hielscher, R., Potts, D., Prestin, J., Schaeben, H., Schmalz, M. The Radon transform on SO(3): A Fourier slice theorem and numerical inversion. Inverse Problems 24, 025011,   (full paper ps, pdf),   2008
Kunis, S., Potts, D. Time and memory requirements of the Nonequispaced FFT. Sampling Theory in Signal and Image Processing 7, 77-100,   (full paper ps, pdf),   2008
Potts, D., Tasche, M. Numerical stability of nonequispaced fast Fourier transforms. J. Comput. Appl. Math. 222, 655-674,   (full paper ps, pdf),   2008
Keiner, J., Potts, D. Fast evaluation of quadrature formulae on the sphere. Math. Comput. 77, 397-419,   (full paper ps, pdf),   2008
Schaeben, H., Hielscher, R., Fundenberger, J.J.,Potts, D., Prestin, J. Orientation density function-controlled pole probability density function measurements: automated adaptive control of texture goniometers. J. Appl. Cryst. 40, 570-579.   (full paper ps, pdf),   2007
Keiner, J., Kunis, S., Potts, D. Efficient reconstruction of functions on the sphere from scattered data. J. Fourier Anal. Appl. 13, 435-458.   (full paper ps, pdf),   2007
Böttcher, A., Potts, D. Probability against condition number and sampling of multivariate trigonometric random polynomials. Electron. Trans. Numer. Anal. 26, 178-189.   (full paper ps, pdf),   2007
Böttcher, A., Potts, D., Wenzel, D A probability argument in favor of ignoring small singular values. Operators and Matrices 1, 31-43.   (full paper ps, pdf),   2007
Knopp, T., Kunis, S., Potts, D. A note on the iterative MRI reconstruction from nonuniform k-space data. Int. J. Biomed. Imag , 2007, ID 24727   (full paper ps, pdf, webpage)   2007
Kunis, S., Potts, D. Stability Results for Scattered Data Interpolation by Trigonometric Polynomials. SIAM J. Sci. Comput. 29, 1403 - 1419,   (full paper ps, pdf)   2007
Fenn, M., Kunis, S., Potts, D. On the computation of the polar FFT. Appl. Comput. Harm. Anal. 22, 257-263,   (full paper ps, pdf),   2007
Eggers, H., Knopp, T., Potts, D. Field Inhomogeneity Correction based on Gridding Reconstruction for Magnetic Resonance Imaging. IEEE Trans. Med. Imag. 26, 374-384,   (full paper ps, pdf, poster),   2007
Keiner, J., Kunis, S., Potts, D. Fast summation of radial functions on the sphere. Computing 78, 1-15.   (full paper ps, pdf),   2006
Kunis, S., Potts, D., Steidl, G. Fast Gauss transforms with complex parameters using NFFTs. J. Numer. Math. 14, 295-303.   (full paper ps, pdf),   2006
Fenn, M., Kunis, S., Potts, D. Fast evaluation of trigonometric polynomials from hyperbolic crosses. Numer. Algorithms 41, 339-252. (full paper ps, pdf),   2006
Fenn, M., Potts, D. Fast summation based on fast trigonometric transforms at nonequispaced nodes. Numer. Linear Algebra Appl. 12, 161-169. (full paper ps, pdf),   2005
Potts, D., Steidl, G., Nieslony, A. Fast convolution with radial kernels at nonequispaced knots. Numer. Math. 98, 329-351. (full paper ps, pdf),   2004
Potts, D. Approximation of scattered data by trigonometric polynomials on the torus and the 2-sphere. Adv. Comput. Math. 21, 21-36. (full paper ps.Z, pdf),   2004
Böhme, M., Potts, D. A fast algorithm for filtering and wavelet decomposition on the sphere. Electron. Trans. Numer. Anal. 16, 70-92. (full paper ps, pdf),   2003
Kunis, S., Potts, D. Fast spherical Fourier algorithms. J. Comput. Appl. Math. 161, 75-98. (full paper ps, pdf),   2003
Potts, D., Steidl, G. Fast summation at nonequispaced knots by NFFTs. SIAM J. Sci. Comput. 24, 2013-2037. (full paper ps, pdf),   2003
Potts, D. Fast algorithms for discrete polynomial transforms on arbitrary grids. Linear Algebra Appl. 366, 353-370. (full paper ps.Z, pdf),   2003
Potts, D., Steidl, G., Tasche, M. Numerical stability of fast trigonometric transforms - a worst case study. J. Concrete Appl. Math. 1, 1-36. (full paper ps, pdf),   2002
Potts, D., Steidl, G. Fourier reconstruction of functions from their nonstandard sampled Radon transform. J. Fourier Anal. Appl. 8, 513-533. (full paper ps, pdf),   2002
Ng, M.K., Potts, D. Fast Iterative methods for Sinc systems. SIAM J. Matrix Anal. Appl. 24, 581-598. (full paper ps, pdf),   2002
Ng, M. K., Potts, D. Circulant preconditioners for indefinite Toeplitz systems. BIT 41,1079-1088. (full paper ps, pdf),   2001
Potts, D., Steidl, G. A new linogram algorithm for computerized tomography. IMA J. Numer. Anal. 21, 769-782. (full paper ps, pdf),   2001
Potts, D., Steidl, G. Preconditioners for ill-conditioned Toeplitz matrices constructed from positive kernels. SIAM J. Sci. Comput. 22,1741-1761. (full paper ps.Z, pdf),   2001
Chan, R., Potts, D., Steidl, G. Preconditioners for non-Hermitian Toeplitz systems. Numer. Linear Alg. Appl. 8,83-98. (full paper ps, pdf),   2001
Chan, R., Potts, D., Steidl, G. Preconditioners for nondefinite Hermitian Toeplitz systems. SIAM J. Matrix Anal. Appl. 22,647-665. (full paper ps, pdf),   2000
Potts, D., Steidl, G. Preconditioners for ill-conditioned Toeplitz matrices. BIT 39,513-533. (full paper ps.Z, pdf),   1999
Potts, D., Steidl G., Tasche M. Fast algorithms for discrete polynomial transforms. Math. Comput. 67, 1577-1590. (full paper ps.Z, pdf),   1998
Potts, D., Steidl G., Tasche M. Fast and stable algorithms for discrete spherical Fourier transforms. Linear Algebra Appl. 275, 433-450. (full paper ps.Z, pdf),   1998
Potts, D., Steidl G. Optimal trigonometric preconditioners for nonsymmetric Toeplitz systems. Linear Algebra Appl. 281, 265-292. (full paper ps.Z, pdf),   1998

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Proceedings Papers and Book Chapters

Kircheis, M., Potts, D. Optimal density compensation factors for the reconstruction of the Fourier transform of bandlimited functions. in: Fourteenth International Conference on Sampling Theory and Applications, 6 pp., arXiv:2304.00094, doi,   (full paper pdf), 2023
Eggers, H., Kircheis, M., Potts, D. Non-Cartesian MRI reconstruction. in: Magnetic Resonance Image Reconstruction: Theory, Methods and Applications. Chapter 5,   (full paper pdf, doi),   2022
Nasdala, R., Potts, D. A Note on Transformed Fourier Systems for the Approximation of Non-periodic Signals. Monte Carlo and Quasi-Monte Carlo Methods MCQMC 2020, Oxford, United Kingdom, pages 253-271,   (full paper pdf ),   2022
Kircheis, M., Potts, D. Efficient multivariate inversion of the NFFT. in: PAMM, Proc. Appl. Math. Mech. 20, pages 1-3.   (full paper pdf, doi),   2021
Hielscher, R., Potts D., Quellmalz M. An SVD in Spherical Surface Wave Tomography. In: Bernd Hofmann, Antonio Leitao and Jorge P. Zubelli (Eds.). New Trends in Parameter Identification for Mathematical Models, Birkhäuser Basel, 2018,   (full paper pdf, arXiv:1706.05284)   2017
Potts, D., Van Buggenhout, N. Fourier extension and sampling on the sphere. Proceedings of the 12th International Conference on Sampling Theory and Applications, pages,   (full paper pdf ),   2017
Potts, D., Volkmer, T. Multivariate sparse FFT based on rank-1 Chebyshev lattice sampling. Proceedings of the 12th International Conference on Sampling Theory and Applications, pages,   (full paper pdf ),   2017
Potts, D., Tasche, M. Error estimates for the ESPRIT algorithm. Operator Theory: Advances and Applications, Vol. 259, Springer International Publishing, pages 621–648,   (full paper pdf),   2017
Potts, D., Volkmer, T. Fast and exact reconstruction of arbitrary multivariate algebraic polynomials in Chebyshev form. Proceedings of the 11th International Conference on Sampling Theory and Applications, pages 392-396,   (full paper pdf, extended preprint ),   2015
Nestler, F., Pippig, M., Potts, D. NFFT based fast Ewald summation for various types of periodic boundary conditions. in: Computational Trends in Solvation and Transport in Liquids, G. Sutmann, J. Grotendorst, G. Gompper, D. Marx (Eds.), pages 575-598,   (full paper pdf),   2015
Kämmerer, L., Kunis, S., Melzer, I., Potts, D., Volkmer, T. Computational Methods for the Fourier Analysis of Sparse High-Dimensional Functions. in: Extraction of Quantifiable Information from Complex Systems, S. Dahlke, W. Dahmen, M. Griebel, W. Hackbusch, K. Ritter, R. Schneider, C. Schwab, H. Yserentant (Eds.),   (full paper pdf),   2014
Heider, S., Kunis, S., Potts, D., Veit, M. A sparse Prony FFT. Proceedings of the 10th International Conference on Sampling Theory and Applications, pages 572-575   (full paper pdf),   2013
Nestler, F., Potts, D. Fast Ewald summation under 2d- and 1d-periodic boundary conditions based on NFFTs. Proceedings of the 10th International Conference on Sampling Theory and Applications, pages 568-571   (full paper pdf),   2013
Gräf, M., Potts, D., Steidl, G. Quadrature nodes meet stippling dots. in Lecture Notes in Computer Science 6667   (full paper pdf),   2011
Pippig, M., Potts, D. Particle simulation based on nonequispaced fast Fourier transforms. in: Fast Methods for Long-Range Interactions in Complex Systems, G. Sutmann, P. Gibbon, T. Lippert (Eds.), pages 131-158.   (full paper pdf),   2010
Keiner, J., Kunis, S., Potts, D. Efficient reconstruction of functions on the sphere from scattered data. in: PAMM, Proc. Appl. Math. Mech. 7, pages 1050405-1050406.   (full paper ps, pdf),   2007
Schaeben, H., Hielscher, R., Fundenberger, J.-J., Potts, D., Prestin, J. Successive computations of an ODF while measuring its corresponding PDFs with respect to progressively locally refined spherical grids. in: Proceedings IAMG'2007, Zhao, P., Agterberg, F., Chen, Q., (Eds.), Beijing, pages 48-50. (full paper ps, pdf ),   2007
Eggers, H., Knopp, T. , Potts, D. Fast Fourier transform for nonequispaced data with applications in MRI. in: Jahrestagung der Deutschen Sektion der ISMRM.   (full paper ps, pdf),   2006
Kunis, S., Knopp, T. , Potts, D. Inverse nonequispaced FFT - Applications in MRI and numerical stability. in: Jahrestagung der Deutschen Sektion der ISMRM.   (full paper ps, pdf),   2006
Pöplau, G., Potts, D., van Rienen, U. Calculation of 3D Space-Charge Fields of Bunches of Charged Particles by Fast Summation. in: Scientific Computing in Electrical Engineering, A.M. Anile, G. Ali and G. Mascaly (Eds.), Springer-Verlag, Berlin, pages 241-246. (full paper ps, pdf ),   2006
Heldmann, S., Mahnke, O., Potts, D., Modersitzki, J. and Fischer, B. Fast computation of Mutual Information in a variational image registration approach. in: Proceedings of the BVM 2004, "Bildverarbeitung für die Medizin 2004, Algorithmen - Systeme - Anwendungen" 29. - 30. März 2004, Berlin. (full paper pdf),   2004
Pöplau,G., Potts, D. Fast Poisson solvers on nonequispaced grids: Multigrid and Fourier methods compared. in: Proceedings of SPIE: Advanced Signal Processing Algorithms, Architectures and Implementations XIII, F.T. Luk (Ed.), Vol. 5205. (full paper ps, pdf),   2003
Böhme, M., Potts, D. A Fast Alogorithm for Spherical Filtering on Arbitrary Grids. in: Proceedings of SPIE: Wavelets Applications in Signal and Image Processing X, M.A. Unser, A. Aldroubi, A.F. Laine (Eds.), Vol. 5207. (full paper ps, pdf) ,   2003
Potts, D., Steidl, G. Preconditioning of Hermitian block-Toeplitz-Toeplitz-block matrices by level-1 preconditioners. in: Structured Matrices in Mathematics, Computer Science, and Engineering II, V. Olshevsky, (Ed.), pages 193-212. (full paper ps, pdf),   2001
Schaeben, H., Potts, D., Prestin, J. Spherical Wavelets with an application in preferred crystallographic orientation. in: Proceedings of the Annual Conference of the International Association for Mathematical Geology, Cancun, Mexico. (full paper ps.Z, pdf),   2001
Schaeben, H., Prestin, J., Potts, D. Wavelet representation of diffraction pole figures. in: Advances in X-ray Analysis 44, Proceedings of the 49th Denver X-ray Conference, Denver 2000, pages 235-240. (full paper ps, pdf),   2000
Potts, D., Steidl, G. New Fourier reconstruction algorithms for computerized tomography. in: Proceedings of SPIE: Wavelet Applications in Signal and Image Processing VIII,A. Aldroubi,A.F. Laine,M.A. Unser (Eds.), Vol.:4119, pages 13-23. (full paper ps, pdf),   2000
Potts, D., Steidl, G., and Tasche M. Fast Fourier transforms for nonequispaced data: A tutorial. in: Modern Sampling Theory: Mathematics and Applications, J.J. Benedetto, P. Ferreira (Eds.), Chapter 12, pages 249-274. (full paper ps.Z, pdf),   1998
Potts, D., Steidl, G., Tasche, M. Trigonometric preconditioners for block Toeplitz systems. in: Multivariate Approximation and Splines, (Eds. G. Nürnberger, J.W. Schmidt, and G. Walz) Birkhäuser, Basel 1997, pages 219-234. (full paper ps.Z, pdf),   1997
Potts, D., Steidl, G., Tasche, M. Kernels of spherical harmonics and spherical frames. in: Fontanella, F, Jetter, K. & Laurent, P.J. (eds.), Advanced Topics in Multivariate Approximation, World Scientific Publ., Singapore, pages 287-301. (full paper ps.gz, pdf),   1996
Potts, D., Tasche, M. Interpolatory wavelets on the sphere. in: Chui, C.K., Schumaker, L.L. (Eds.), Approximation Theory VIII, Vol. 2: Wavelets and Multilevel Approximation, World Scientific Publ., Singapore: pages 335-342. (full paper ps.gz, pdf),   1995

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Further papers

Taubert, F., Potts D., Rada, U., Rockenbauch, K., Wenn Studierende die Vorlesung halten – ein kollaboratives Lehrformat, (full paper pdf), Perspektiven auf Lehre. Journal for Higher Education and Academic Development, 2024
Nestler, F., Potts, D., Winkelmann, Y., Elektronische Übungen und Prüfungsvorleistungen im Bereich der höheren Mathematik, E-Prüfungs-Symposium, Universität Bremen, 2017.
The Nonequispaced FFT: An Indispensable Algorithm for Applied Science , Computing Reviews, 2011
Schnelle Fourier-Transformationen für nichtäquidistante Daten und Anwendungen, (.pdf), Habilitationsschrift, Universität zu Lübeck, 2003
Schnelle Polynomtransformationen und Vorkonditionierer für Toeplitz-Matrizen, (.pdf) , (ISBN 3-8265-3904-4) Thesen, Dissertation, Universität Rostock, 1998
Wavelets auf der Sphäre, (.pdf) , Diplomarbeit, Universität Rostock, 1995