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Poisson summation for Hankel transforms

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arxiv 2110.05696 v2 pith:25GO2RAY submitted 2021-10-12 math.NT math.FAmath.RT

classification math.NTmath.FAmath.RT
keywords summationformulahankelpoissonarticlebraverman-kazhdan-ngocaseclassical
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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.

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