Partitions of Unity and New Obstructions for Gabor Frames

2015/07/30 by Karlheinz Gröchenig, Gröchenig, Karlheinz · 1 citation
Computer Science · Earth and Planetary Sciences · Mathematics · #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Seismic Imaging and Inversion Techniques #math.FA #msc:42C15

paper · pdf · doi:10.48550/arxiv.1507.08432

3 pages

arxiv created 2015/07/30 · arxiv updated 2015/07/31

Abstract

We derive new obstructions for Gabor frames. This note explains and proves the computer generated observations of Lemvig and Nielsen in arXiv:1507.03982.

Citations

• Counterexamples to the B-spline conjecture for Gabor frames

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• On the Gabor frame set for compactly supported continuous functions

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