A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups

DOI10.1016/S0022-247X(03)00038-6zbMath1023.43003OpenAlexW2077180158MaRDI QIDQ1874618

Gitta Kutyniok

Publication date: 25 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00038-6

zbMATH Keywords

generating functionlocally compact abelian groupGabor frameuniform latticequalitative uncertainty principle

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Character groups and dual objects (43A40)

Related Items (8)

Zak transform for semidirect product of locally compact groups ⋮ Zak transform for groupoids with abelian isotropy ⋮ The continuous Zak transform and generalized Gabor frames ⋮ Spline function generating Gabor systems on the half real line ⋮ Rationally sampled Gabor frames on the half real line ⋮ Existence of representation frames based on wave packet groups ⋮ Generalized Weyl-Heisenberg (GWH) groups ⋮ Minimizing functions for an uncertainty principle on locally compact groups of bounded representation dimension

Cites Work

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• A Qualitative Uncertainty Principle for Unimodular Groups of Type I
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
• A Class of Nonharmonic Fourier Series

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