Volume growth, temperedness and integrability of matrix coefficients on a real spherical space

Friedrich Knop, Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull

Research output: Contribution to journalArticlepeer-review

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 languageAmerican English
Pages (from-to)12-36
Number of pages25
JournalJournal of Functional Analysis
Volume271
Issue number1
DOIs
StatePublished - 1 Jul 2016

Keywords

  • Harmonic analysis on reductive groups
  • Real spherical spaces

All Science Journal Classification (ASJC) codes

  • Analysis

Fingerprint

Dive into the research topics of 'Volume growth, temperedness and integrability of matrix coefficients on a real spherical space'. Together they form a unique fingerprint.

Cite this