Holomorphic harmonic analysis on complex reductive groups
Group Theory
2007-09-05 v1 Functional Analysis
Abstract
We define the holomorphic Fourier transform of holomorphic functions on complex reductive groups, prove some properties like the Fourier inversion formula, and give some applications. The definition of the holomorphic Fourier transform makes use of the notion of -admissible measures. We prove that -admissible measures are abundant, and the definition of holomorphic Fourier transform is independent of the choice of -admissible measures.
Cite
@article{arxiv.0709.0510,
title = {Holomorphic harmonic analysis on complex reductive groups},
author = {Jinpeng An and Zhengdong Wang and Min Qian},
journal= {arXiv preprint arXiv:0709.0510},
year = {2007}
}
Comments
15 pages, revision of a preprint by the first author in 2001