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

Friedrich Knop; Bernhard Krötz; Eitan Sayag; Henrik Schlichtkrull

doi:10.1016/j.jfa.2016.04.001

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

Friedrich Knop, Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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 L^p-integrability of matrix coefficients on Z.

Original language	English
Pages (from-to)	12-36
Number of pages	25
Journal	Journal of Functional Analysis
Volume	271
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2016.04.001
State	Published - 1 Jul 2016

Keywords

Harmonic analysis on reductive groups
Real spherical spaces

ASJC Scopus subject areas

Analysis

Access to Document

10.1016/j.jfa.2016.04.001

Cite this

@article{b4c29452dd4f480aa563945a8c987ae1,

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

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.",

keywords = "Harmonic analysis on reductive groups, Real spherical spaces",

author = "Friedrich Knop and Bernhard Kr{\"o}tz and Eitan Sayag and Henrik Schlichtkrull",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2016",

month = jul,

day = "1",

doi = "10.1016/j.jfa.2016.04.001",

language = "English",

volume = "271",

pages = "12--36",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

number = "1",

}

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.

KW - Harmonic analysis on reductive groups

KW - Real spherical spaces

UR - http://www.scopus.com/inward/record.url?scp=84963642287&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2016.04.001

DO - 10.1016/j.jfa.2016.04.001

M3 - Article

AN - SCOPUS:84963642287

SN - 0022-1236

VL - 271

SP - 12

EP - 36

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this