Non-symmetric convex polytopes and Gabor orthonormal bases

Chung, Randolf; Lai, Chun-kit

doi:10.1090/proc/14183

Non-symmetric convex polytopes and Gabor orthonormal bases
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by Randolf Chung and Chun-kit Lai

Proc. Amer. Math. Soc. 146 (2018), 5147-5155

DOI: https://doi.org/10.1090/proc/14183

Published electronically: September 4, 2018

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Abstract:

In this paper, we show that non-symmetric convex polytopes cannot serve as a window function to produce a Gabor orthonormal basis by any time-frequency sets.

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