WAVELET TRANSFORMS ASSOCIATED TO GROUP REPRESENTATIONS AND FUNCTIONS INVARIANT UNDER SYMMETRY GROUPS

DOI10.1142/S0219691305000816zbMath1078.42030MaRDI QIDQ5312599

Holger Rauhut

Publication date: 1 September 2005

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

symmetry groupswavelet transformGabor transformshort time Fourier transformradial functionsirreducible unitary representationrepresentation of locally compact groups

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) General harmonic expansions, frames (42C15)

Related Items (3)

ON CONSTRUCTION OF COHERENT STATES ASSOCIATED WITH SEMIDIRECT PRODUCTS ⋮ Banach frames in coorbit spaces consisting of elements which are invariant under symmetry groups ⋮ Biorthogonal radial multiresolution in dimension three

Cites Work

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• Banach spaces related to integrable group representations and their atomic decompositions. I
• Banach spaces related to integrable group representations and their atomic decompositions. II
• Describing functions: Atomic decompositions versus frames
• On the regular representation of a nonunimodular locally compact group
• Spaces with an abstract convolution of measures
• Continuous Gabor transform for strong hypergroups
• Banach frames in coorbit spaces consisting of elements which are invariant under symmetry groups
• Weyl-Bessel transforms

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