English

Inversion formula for the hypergeometric Fourier transform associated with a root system of type $BC$

Representation Theory 2022-06-22 v4

Abstract

We give the inversion formula and the Plancherel formula for the hypergeometric Fourier transform associated with a root system of type BCBC, when the multiplicity parameters are not necessarily nonnegative.

Keywords

Cite

@article{arxiv.2007.08281,
  title  = {Inversion formula for the hypergeometric Fourier transform associated with a root system of type $BC$},
  author = {Tatsuo Honda and Hiroshi Oda and Nobukazu Shimeno},
  journal= {arXiv preprint arXiv:2007.08281},
  year   = {2022}
}

Comments

36 pages

R2 v1 2026-06-23T17:09:57.188Z