TY - BOOK A1 - Louis, Alfred K. A1 - Maaß, Peter A1 - Rieder, Andreas T1 - Wavelets : Theorie und Anwendungen Y1 - 1998 SN - 3-519-12094-1 U6 - https://doi.org/10.1007/978-3-322-80136-4 PB - Vieweg+Teubner Verlag CY - Wiesbaden ER - TY - JOUR A1 - Maaß, Peter A1 - Pereverzev, Sergei V. A1 - Ramlau, Ronny A1 - Solodky, Sergei G. T1 - An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection JF - Preprint NLD Y1 - 1998 SN - 1432-2935 VL - 48 PB - Univ. Potsdam CY - Potsdam ER - TY - JOUR A1 - Maaß, Peter T1 - Families of orthogonal 2D wavelets Y1 - 1996 ER - TY - JOUR A1 - Maaß, Peter T1 - Non-separable orthogonal 2D-wavelets Y1 - 1996 ER - TY - JOUR A1 - Maaß, Peter A1 - Ramlau, Ronny T1 - Wavelet accelerated iteration methods for hyperthermia treatment planning Y1 - 1996 ER - TY - BOOK A1 - Maaß, Peter A1 - Rieder, Andreas T1 - Wavelet-accelerated Tikhonov-Phillips regularization with applications T3 - Preprint NLD Y1 - 1996 VL - 30 PB - Univ. CY - Potsdam ER - TY - INPR A1 - Dicken, Volker A1 - Maaß, Peter T1 - Wavelet-Galerkin methods for ill-posed problems N2 - Projection methods based on wavelet functions combine optimal convergence rates with algorithmic efficiency. The proofs in this paper utilize the approximation properties of wavelets and results from the general theory of regularization methods. Moreover, adaptive strategies can be incorporated still leading to optimal convergence rates for the resulting algorithms. The so-called wavelet-vaguelette decompositions enable the realization of especially fast algorithms for certain operators. T3 - NLD Preprints - 22 Y1 - 1995 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-13890 ER - TY - JOUR A1 - Dahlke, Stephan A1 - Maaß, Peter T1 - The affine uncertainty principle in one and two dimensions Y1 - 1995 ER - TY - BOOK A1 - Dahlke, Stephan A1 - Maaß, Peter T1 - The affine uncertainty principle in one and two dimensions T3 - Preprint / Universität Potsdam, Fachbereich Mathematik Y1 - 1994 VL - 1994, 01 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Dahlke, Stephan A1 - Maaß, Peter T1 - A continuous wavelet transform on tangent bundles of spheres T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1994 VL - 1994, 16 PB - Univ. CY - Potsdam ER -