English

Poisson summation for Hankel transforms

Number Theory 2021-10-27 v2 Functional Analysis Representation Theory

Abstract

In this article we study the Poisson summation for Hankel transform in the sense of Braverman-Kazhdan-Ngo in the special case of LL-embedding ρ:GL1GL2\rho: GL_1\rightarrow GL_2. We view such a summation formula as the generalization of the classical Voronoi summation formula.

Cite

@article{arxiv.2110.05696,
  title  = {Poisson summation for Hankel transforms},
  author = {Taiwang Deng},
  journal= {arXiv preprint arXiv:2110.05696},
  year   = {2021}
}
R2 v1 2026-06-24T06:48:43.696Z