MPAWL swMATH ID: 9094 Software Authors: Ronny Bergmann Description: The Multivariate Anisotropic Periodic Wavelet Library (MPAWL) implements a fast Fourier transform on arbitrary sampling lattices on the d-variate torus. Furthermore, periodic wavelets on the torus based on these lattices can be created, and used for an anisotropic wavelet transform for multivariate periodic functions. Remarks: This software is also available in the Wolfram Archive Library at http://library.wolfram.com/infocenter/MathSource/8761/ The latest version, also one including the PDF versions of the Mathematica notebooks can be found on GitHub at https://github.com/kellertuer/MPAWL Homepage: http://www.mathematik.uni-kl.de/imagepro/members/bergmann/mpawl/ Dependencies: Mathematica Keywords: wavelets; periodic wavelets; lattices; box splines; anisotropic wavelet decomposition Related Software: FFTW; taylorR1Lnfft; NHCFFT Cited in: 10 Publications all top 5 Cited by 10 Authors 6 Bergmann, Ronny 3 Kämmerer, Lutz 3 Prestin, Jurgen 3 Volkmer, Toni 2 Merkert, Dennis 1 Byrenheid, Glenn 1 Potts, Daniel 1 Schober, Kevin 1 Stasyuk, Serhii A. 1 Ullrich, Tino all top 5 Cited in 7 Serials 3 Applied and Computational Harmonic Analysis 1 Computers & Mathematics with Applications 1 Journal of Approximation Theory 1 Numerische Mathematik 1 Advances in Computational Mathematics 1 The Journal of Fourier Analysis and Applications 1 Berichte aus der Mathematik all top 5 Cited in 6 Fields 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) Citations by Year