Admissible wavelets associated with the affine automorphism group of the Siegel upper half-plane

DOI10.1006/jmaa.1997.5289zbMath0885.22015OpenAlexW1984807285MaRDI QIDQ1359602

Jianxun He, He Ping Liu

Publication date: 6 April 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5289

zbMATH Keywords

Fourier transformHeisenberg groupsquare-integrable representationswavelet theorySiegel upper half planelocally compact Lie groups

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Other transformations of harmonic type (42C20)

Related Items (8)

Radial wavelet transform on Iwasawa subgroups ⋮ Uncertainty inequalities for the Heisenberg group ⋮ An inversion formula of Radon transform on the product Heisenberg group ⋮ The Calderón reproducing formula associated with the Heisenberg group \(H^d\) ⋮ Continuous wavelet transforms on the space \(L^{2}(\mathbf R,\mathbb H; dx)\) ⋮ Radial wavelet and radon transform on the Heisenberg group ⋮ Wavelets on the n-sphere and related manifolds ⋮ MULTIRESOLUTION ANALYSIS AND HAAR WAVELETS ON THE PRODUCT OF HEISENBERG GROUP

Cites Work

• Fourier analysis on the Heisenberg group. I. Schwartz space
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
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