Poisson summation for Hankel transforms

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 $\rho :G{L}_1\to G{L}_2$. We view such a summation formula as the generalization of the classical Voronoi summation formula.

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• The wild McKay correspondence and $p$-adic measures
• Ten Lectures on the Moment Problem
• On generalization of a theorem of Harish-Chandra