Zak transform for semidirect product of locally compact groups
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Publication:390258
DOI10.1007/s13324-013-0057-6zbMath1321.43003arXiv1203.1509OpenAlexW2136042471MaRDI QIDQ390258
Arash Ghaani Farashahi, Ali Akbar Arefijamaal
Publication date: 23 January 2014
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.1509
Other transforms and operators of Fourier type (43A32) Analysis on specific locally compact and other abelian groups (43A70)
Related Items (11)
Operator-valued continuous Gabor transforms over non-unimodular locally compact groups ⋮ Tuning co- and contra-variant transforms: the Heisenberg group illustration ⋮ Zak transform for groupoids with abelian isotropy ⋮ Rationally sampled Gabor frames on the half real line ⋮ Theoretical frame properties of wave-packet matrices over prime fields ⋮ The Zak transform on strongly proper G-spaces and its applications ⋮ ABSTRACT HARMONIC ANALYSIS OF RELATIVE CONVOLUTIONS OVER CANONICAL HOMOGENEOUS SPACES OF SEMIDIRECT PRODUCT GROUPS ⋮ Square-integrability of multivariate metaplectic wave-packet representations ⋮ Square-integrability of metaplectic wave-packet representations on \(L^2(\mathbb{R})\) ⋮ Existence of representation frames based on wave packet groups ⋮ Weighted Zak transforms and the dual tiling condition
Cites Work
- Construction of wavelet analysis in the space of discrete splines using Zak transform
- A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups
- The continuous Zak transform and generalized Gabor frames
- Sur certains groupes d'opérateurs unitaires
- APPLICATIONS OF MAGNETIC ΨDO TECHNIQUES TO SAPT
- Bargmann transform, Zak transform, and coherent states
- Zeros of the Zak transform on locally compact abelian groups
- Analytic representation of finite quantum systems
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