Counterexamples to the B-spline conjecture for Gabor frames

DOI10.1007/s00041-016-9462-1zbMath1355.42032arXiv1507.03982OpenAlexW1934956489WikidataQ123151100 ScholiaQ123151100MaRDI QIDQ501958

Kamilla Haahr Nielsen, Jakob Lemvig

Publication date: 10 January 2017

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

Full work available at URL: https://arxiv.org/abs/1507.03982

zbMATH Keywords

frameB-splineGabor systemframe setZibulski-Zeevi matrix

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (7)

On the Gabor frame set for compactly supported continuous functions ⋮ Spline function generating Gabor systems on the half real line ⋮ Gabor Frames: Characterizations and Coarse Structure ⋮ B-spline approximations of the Gaussian, their Gabor frame properties, and approximately dual frames ⋮ Gabor windows supported on \([- 1, 1\) and construction of compactly supported dual windows with optimal smoothness] ⋮ Frame sets for a class of compactly supported continuous functions ⋮ On the frame set of the second-order B-spline

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• Varying the time-frequency lattice of Gabor frames
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• Co-compact Gabor systems on locally compact abelian groups

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