Abstract
We apply the local structure theorem from [13] and the polar decomposition of [12] 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 Lp-integrability of matrix coefficients on Z.
Original language | American English |
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Pages (from-to) | 12-36 |
Number of pages | 25 |
Journal | Journal of Functional Analysis |
Volume | 271 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jul 2016 |
Keywords
- Harmonic analysis on reductive groups
- Real spherical spaces
All Science Journal Classification (ASJC) codes
- Analysis