Rationally sampled Gabor frames on the half real line

DOI10.1016/j.jmaa.2023.127919MaRDI QIDQ6181159

No author found.

Publication date: 2 January 2024

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

zbMATH Keywords

Riesz basisZak transformGabor frameGabor dualsZak transform matrix

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) General harmonic expansions, frames (42C15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Zak transform for semidirect product of locally compact groups
• Homogeneous wavelets and framelets with the refinable structure
• Abstract harmonic analysis of wave-packet transforms over locally compact abelian groups
• The structure of translation-invariant spaces on locally compact abelian groups
• Foundations of time-frequency analysis
• Orthogonality of a pair of frames over locally compact abelian groups
• A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups
• The continuous Zak transform and generalized Gabor frames
• The density theorem of a class of dilation-and-modulation systems on the half real line
• Explicit construction of frames and pairs of dual frames on locally compact abelian groups
• Universal sampling and interpolation in locally compact abelian groups
• The structure of finitely generated shift-invariant subspaces on locally compact abelian groups
• Phase retrieval for continuous Gabor frames on locally compact abelian groups
• Fourier-like frames on locally compact abelian groups
• The Zak transform and the structure of spaces invariant by the action of an LCA group
• The unitary extension principle on locally compact abelian groups
• Sur certains groupes d'opérateurs unitaires
• A Course in Abstract Harmonic Analysis
• The theory of reproducing systems on locally compact abelian groups
• The wavelet transform, time-frequency localization and signal analysis
• Zeros of the Zak transform on locally compact abelian groups
• The unitary extension principle for locally compact abelian groups with co-compact subgroups
• A RANGE FUNCTION APPROACH TO SHIFT-INVARIANT SPACES ON LOCALLY COMPACT ABELIAN GROUPS
• An introduction to frames and Riesz bases
• Co-compact Gabor systems on locally compact abelian groups

This page was built for publication: Rationally sampled Gabor frames on the half real line