Zak transform for semidirect product of locally compact groups

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

zbMATH Keywords

semidirect productlocally compact abelian groupuniform latticeZAK transform

Mathematics Subject Classification ID

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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