The continuous Zak transform and generalized Gabor frames

DOI10.1007/s00009-012-0178-4zbMath1260.43009OpenAlexW2040358809MaRDI QIDQ1943585

Ali Akbar Arefijamaal

Publication date: 20 March 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-012-0178-4

zbMATH Keywords

Fourier transformZak transformregular representationcontinuous frameLCA groupssemidirect product groups

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Other transforms and operators of Fourier type (43A32) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (8)

Operator-valued continuous Gabor transforms over non-unimodular locally compact groups ⋮ Zak transform for semidirect product of locally compact groups ⋮ Abstract relative Gabor transforms over canonical homogeneous spaces of semidirect product groups with Abelian normal factor ⋮ Zak transform for groupoids with abelian isotropy ⋮ Rationally sampled Gabor frames on the half real line ⋮ Existence of representation frames based on wave packet groups ⋮ Co-compact Gabor systems on locally compact abelian groups ⋮ Subspaces of \(L^2(G)\) invariant under translation by an abelian subgroup

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