Volume growth, temperedness and integrability of matrix coefficients on a real spherical space
Representation Theory
2024-04-02 v2
Abstract
We apply the local structure theorem and the polar decomposition to a real spherical space Z=G/H and control the volume growth on Z. We define the Harish-Chandra Schwartz space on Z. We give a geometric criterion to ensure -integrability of matrix coefficients on Z.
Keywords
Cite
@article{arxiv.1407.8006,
title = {Volume growth, temperedness and integrability of matrix coefficients on a real spherical space},
author = {Friedrich Knop and Bernhard Krötz and Eitan Sayag and Henrik Schlichtkrull},
journal= {arXiv preprint arXiv:1407.8006},
year = {2024}
}
Comments
Additional material of 4 pages added. To appear in J. Funct. Analysis