Continuous partial Gabor transform for semi-direct product of locally compact groups

DOI10.1007/s40840-014-0049-1zbMath1311.43007arXiv1203.1517OpenAlexW2592299004MaRDI QIDQ2340819

Arash Ghaani Farashahi

Publication date: 21 April 2015

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1517

zbMATH Keywords

semi-direct productPlancherel theoremshort-time Fourier transform (STFT)continuous Gabor transformtime-frequency plane (group)

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (11)

Operator-valued continuous Gabor transforms over non-unimodular locally compact groups ⋮ Wave packet transforms over finite cyclic groups ⋮ Abstract relative Gabor transforms over canonical homogeneous spaces of semidirect product groups with Abelian normal factor ⋮ Theoretical frame properties of wave-packet matrices over prime fields ⋮ 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 \(L^2(\mathbb{R})\) ⋮ Generalized Weyl-Heisenberg (GWH) groups ⋮ A constructive approach to the finite wavelet frames over prime fields ⋮ On C–D controlled frames and their duality ⋮ Unnamed Item

Cites Work

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