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

Knop F, Krötz B, Sayag E, Schlichtkrull H (2016)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2016

Journal

Journal of Functional Analysis Elsevier

Publisher: Elsevier

Book Volume: 271

Pages Range: 12-36

URI: http://arxiv.org/abs/1407.8006v2

DOI: 10.1016/j.jfa.2016.04.001

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 Lp-integrability of matrix coefficients on Z

Authors with CRIS profile

Friedrich Knop Lehrstuhl für Mathematik (Algebra und Geometrie)

Involved external institutions

Universität Paderborn DE Germany (DE)

How to cite

APA:

Knop, F., Krötz, B., Sayag, E., & Schlichtkrull, H. (2016). Volume growth, temperedness and integrability of matrix coefficients on a real spherical space. Journal of Functional Analysis, 271, 12-36. https://doi.org/10.1016/j.jfa.2016.04.001

MLA:

Knop, Friedrich, et al. "Volume growth, temperedness and integrability of matrix coefficients on a real spherical space." Journal of Functional Analysis 271 (2016): 12-36.

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