Analysis on the crown domain
表示论
2009-10-29 v2 数论
摘要
In this paper one finds:1) A simple combinatorical description of the distinguished boundary of the crown domain in terms of the affine Weyl group; 2) Optimal upper and lower bounds for holomorphically extended spherical functions; 3) First progress on how to attach complex invariants to irreducible representations; 4) A new unipotent model for the crown domain; 5) Optimal bounds for the exponential decay of cuspidal automorphic forms.
引用
@article{arxiv.math/0606213,
title = {Analysis on the crown domain},
author = {Bernhard Kroetz and Eric M. Opdam},
journal= {arXiv preprint arXiv:math/0606213},
year = {2009}
}
备注
Revised version. 103 pages. To appear in GAFA