Letter to the editor: proof of the HRT conjecture for almost every \((1,3)\) configuration

DOI10.1007/s00041-018-9628-0zbMath1417.42001arXiv1609.08230OpenAlexW3099919581WikidataQ123353050 ScholiaQ123353050MaRDI QIDQ2003592

Wencai Liu

Publication date: 9 July 2019

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

Full work available at URL: https://arxiv.org/abs/1609.08230

zbMATH Keywords

configurationcontinued fraction expansionHRT conjecture

Mathematics Subject Classification ID

Harmonic analysis and almost periodicity in probabilistic number theory (11K70) Trigonometric polynomials, inequalities, extremal problems (42A05) Diophantine approximation in probabilistic number theory (11K60)

Related Items (3)

Linear independence of a finite set of time-frequency shifts ⋮ Linear independence of time-frequency translates in \(L^p\) spaces ⋮ Letter to the editor: linear independence of time-frequency shifts up to extreme dilations

Cites Work

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• Linear independence of Parseval wavelets
• Proof of the HRT conjecture for configurations
• Linear independence of finite Gabor systems determined by behavior at infinity
• Linear independence of time frequency translates for special configurations
• Linear independence of time-frequency translates in \(\mathbb R^d\)
• The HRT Conjecture and the Zero Divisor Conjecture for the Heisenberg Group
• 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

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