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 The latest version, also one including the PDF versions of the Mathematica notebooks can be found on GitHub at