The HRT Conjecture and the Zero Divisor Conjecture for the Heisenberg Group

DOI10.1007/978-3-319-13230-3_7zbMath1415.42026OpenAlexW804703372MaRDI QIDQ2950250

Darrin M. Speegle, Christopher Heil

Publication date: 8 October 2015

Published in: Excursions in Harmonic Analysis, Volume 3 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-13230-3_7

zbMATH Keywords

Heisenberg grouptime-frequency analysiswavelet systemsGabor systemsHRT conjecturezero divisor conjectureindicable grouplinear independence of time-frequency shifts conjecture

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (7)

A note on the HRT conjecture and a new uncertainty principle for the short-time Fourier transform ⋮ Linear independence of a finite set of time-frequency shifts ⋮ Translates of Functions on the Heisenberg Group and the HRT Conjecture ⋮ Letter to the editor: proof of the HRT conjecture for almost every \((1,3)\) configuration ⋮ On zero-divisors of semimodules and semialgebras ⋮ Interpolation in wavelet spaces and the HRT-conjecture ⋮ Linear independence of time-frequency translates in \(L^p\) spaces

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• WHAT IS... a Frame?
• The noncommutative Wiener lemma, linear independence, and spectral properties of the algebra of time-frequency shift operators
• Ten Lectures on Wavelets
• Von Neumann algebras and linear independence of translates
• Linear independence of time-frequency translates
• On the finite linear independence of lattice Gabor systems
• Linear independence of time-frequency translates of functions with faster than exponential decay
• The zero divisor question for supersolvable groups

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