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arXiv · 1407.8006

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

Friedrich Knop·Bernhard Krötz·Eitan Sayag·Henrik Schlichtkrull
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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 $L^p$-integrability of matrix coefficients on Z.

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Friedrich Knop, Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull. 2014-07-30. Volume growth, temperedness and integrability of matrix coefficients on a real spherical space. https://doi.org/10.1016/j.jfa.2016.04.001

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