Cuspidal hypergeometric functions
表示论
2007-05-23 v1 谱理论
摘要
We prove the Plancherel formula for hypergeometric functions associated to a root system in the situation when the root multiplicities are negative (but close to 0). As a result we obtain a classification of the hypergeometric functions that are square integrable, and we find a closed formula for their square norm as a function of the root multiplicities.
引用
@article{arxiv.math/9808035,
title = {Cuspidal hypergeometric functions},
author = {Eric M. Opdam},
journal= {arXiv preprint arXiv:math/9808035},
year = {2007}
}
备注
18 pages, no figures. This paper is dedicated to Richard Askey, on the occasion of his 65th birthday. It will appear in a special issue of Methods and Applications of Analysis