Translates of Functions on the Heisenberg Group and the HRT Conjecture

DOI10.4153/S0008439520000107zbMath1456.42038OpenAlexW3004473969WikidataQ122971664 ScholiaQ122971664MaRDI QIDQ5148083

Vignon Oussa, Bradley N. Currey

Publication date: 29 January 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439520000107

zbMATH Keywords

Heisenberg groupGabor systemHRT conjecturetime-frequency system

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Nilpotent and solvable Lie groups (22E25) General harmonic expansions, frames (42C15) Analysis on other specific Lie groups (43A80)

Related Items (1)

Interpolation in wavelet spaces and the HRT-conjecture

Cites Work

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• An almost periodic noncommutative Wiener's Lemma
• Cyclic vectors for \(L^p(G)\)
• Foundations of time-frequency analysis
• Linear dependency of translations and square-integrable representations
• Extension and restriction principles for the HRT conjecture
• Linear independence of finite Gabor systems determined by behavior at infinity
• Linear independence of time-frequency shifts?
• Cyclic vectors for representations of locally compact groups
• The HRT Conjecture and the Zero Divisor Conjecture for the Heisenberg Group
• Difference Equations Over Locally Compact Abelian Groups
• Harmonic Analysis in Phase Space. (AM-122)
• 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
• Square Integrable Representations of Nilpotent Groups
• An introduction to frames and Riesz bases

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