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

TY - JOUR

T1 - Volume growth, temperedness and integrability of matrix coefficients on a real spherical space

AU - Knop, Friedrich

AU - Krötz, Bernhard

AU - Sayag, Eitan

AU - Schlichtkrull, Henrik

PY - 2016/7/1

Y1 - 2016/7/1

N2 - 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.

AB - 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.

U2 - 10.1016/j.jfa.2016.04.001

DO - 10.1016/j.jfa.2016.04.001

M3 - Journal article

SN - 0022-1236

VL - 271

SP - 12

EP - 36

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -