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arXiv · 2412.07661

Poisson summation formula in weighted Lebesgue spaces

Miquel Saucedo·Sergey Tikhonov
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Abstract

We characterize the parameters $(\alpha,\beta,p,q)$ for which the condition $f|x|^\alpha\in L^p$ and $\widehat{f}|\xi|^\beta\in L^q$ implies the validity of the Poisson summation formula, thus completing the study of Kahane and Lemari\'e-Rieusset.

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Miquel Saucedo, Sergey Tikhonov. 2024-12-10. Poisson summation formula in weighted Lebesgue spaces. https://arxiv.org/abs/2412.07661

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