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Poisson summation for Hankel transforms (2110.05696v2)
Published 12 Oct 2021 in math.NT, math.FA, and math.RT
Abstract: In this article we study the Poisson summation for Hankel transform in the sense of Braverman-Kazhdan-Ngo in the special case of $L$-embedding $\rho: GL_1\rightarrow GL_2$. We view such a summation formula as the generalization of the classical Voronoi summation formula.