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

Autor:	Bernhard Krötz, Henrik Schlichtkrull, Friedrich Knop, Eitan Sayag
Rok vydání:	2016
Předmět:	010102 general mathematics Mathematical analysis Polar decomposition Spherical space 01 natural sciences Local structure Matrix (mathematics) Volume growth Schwartz space 0103 physical sciences FOS: Mathematics 010307 mathematical physics Representation Theory (math.RT) 0101 mathematics Mathematics::Representation Theory Mathematics - Representation Theory Analysis Mathematics
Zdroj:	Journal of Functional Analysis. 271:12-36
ISSN:	0022-1236
DOI:	10.1016/j.jfa.2016.04.001
Popis:	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. Additional material of 4 pages added. To appear in J. Funct. Analysis
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dcab8970456597e42ca6cdf82925481b https://doi.org/10.1016/j.jfa.2016.04.001 Zobrazit plný text záznamu Full Text from ScienceDirect