Poisson summation formula in weighted Lebesgue spaces

2024/12/10 by Miquel Saucedo, Sergey Tikhonov, Saucedo, Miquel +1
Mathematics · #Advanced Harmonic Analysis Research #Mathematical Approximation and Integration #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2412.07661

Abstract

We characterize the parameters (α,β,p,q) for which the condition f|x|^α∈ L^p and \widehatf|ξ|^β∈ L^q implies the validity of the Poisson summation formula, thus completing the study of Kahane and Lemarié-Rieusset.

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