Plancherel inversion as unified approach to wavelet transforms and Wigner functions

DOI10.1007/s00023-003-0154-4zbMath1049.81043arXivmath-ph/0106014OpenAlexW2172270501MaRDI QIDQ1424261

Anna E. Krasowska, Hartmut Führ, Syed Twareque Ali

Publication date: 11 March 2004

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0106014

zbMATH Keywords

Fourier transformPlancherel measureWigner functionwavelet transformrepresentation theoryHaar measureHilbert-Schmidt operatorsgroup theoryBruhat functionsPlancherel transformsType-I groups

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (7)

Admissible vectors for the regular representation ⋮ Coherent distributions for the rigid rotator ⋮ Wigner functions for noncommutative quantum mechanics: A group representation based construction ⋮ A Wavelet Plancherel Theory with Application to Multipliers and Sparse Approximations ⋮ Admissible vectors and Hilbert algebras ⋮ Fourier analysis on the affine group, quantization and noncompact Connes geometries ⋮ Covariant affine integral quantization(s)

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