English

Local integrability of Bessel functions on split groups

Representation Theory 2018-06-26 v2

Abstract

In this paper, we prove that the Bessel functions are locally integrable for all connected split reductive linear algebraic groups over a p-adic field FF and the Bessel distributions are given by integrals against these Bessel functions, which are previously known only for GL(2),GL(3)GL(2),GL(3) proved by Baruch.

Keywords

Cite

@article{arxiv.1610.03616,
  title  = {Local integrability of Bessel functions on split groups},
  author = {Jingsong Chai},
  journal= {arXiv preprint arXiv:1610.03616},
  year   = {2018}
}

Comments

Corollary 6.7 and its proof are not correct, which results in a gap in the proof of the main result

R2 v1 2026-06-22T16:18:28.116Z