English

On generalization of a theorem of Harish-Chandra

Number Theory 2023-11-02 v2

Abstract

In this paper under some conditions we generalize a theorem of Harish-Chandra concerning representability of Fourier transforms of orbital integrals.

Keywords

Cite

@article{arxiv.2110.09125,
  title  = {On generalization of a theorem of Harish-Chandra},
  author = {Taiwang Deng},
  journal= {arXiv preprint arXiv:2110.09125},
  year   = {2023}
}

Comments

In last submission, there is a misuse of a theorem of Igusa on rationality of orbital integrals. We introduce some additional assumptions to guaranteed the results we obtain are correct