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arXiv · 2212.06778

Cohn-Elkies functions from Gabor frames

Yuri Manin·Matilde Marcolli
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Abstract

We investigate the relation between two different mathematical problems: the construction of bounds on sphere packing density using Cohn-Elkies functions and the construction of Gabor frames for signal analysis. In particular, we present a general construction of Cohn-Elkies functions in arbitrary dimension, obtained from an approximate Wexel-Raz dual for Gabor frames with Gaussian window.

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Yuri Manin, Matilde Marcolli. 2022-12-13. Cohn-Elkies functions from Gabor frames. https://arxiv.org/abs/2212.06778

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