Linear independence of time-frequency translates in \(L^p\) spaces

DOI10.1007/s00041-020-09774-2zbMath1446.42048OpenAlexW3045145872MaRDI QIDQ785907

Jorge Antezana, Enrique R. Pujals, Joaquim Bruna

Publication date: 12 August 2020

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

Full work available at URL: https://doi.org/10.1007/s00041-020-09774-2

zbMATH Keywords

latticeergodicitylinear independence\(L^p\) spacessymplectic transformationtime frequency translates

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) General harmonic expansions, frames (42C15)

Related Items (1)

Linear independence of a finite set of time-frequency shifts

Cites Work

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• Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms
• Linear independence of Parseval wavelets
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• Linear independence of time frequency translates for special configurations
• Symplectic geometry and quantum mechanics
• The HRT Conjecture and the Zero Divisor Conjecture for the Heisenberg Group
• Difference Equations Over Locally Compact Abelian Groups
• Von Neumann algebras and linear independence of translates
• Linear independence of time-frequency translates
• Linear independence of time-frequency translates of functions with faster than exponential decay

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