Decay of matrix coefficients on reductive homogeneous spaces of spherical type

Bernhard Krötz; Eitan Sayag; Henrik Schlichtkrull

doi:10.1007/s00209-014-1313-7

Decay of matrix coefficients on reductive homogeneous spaces of spherical type

Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull

Institut for Matematiske Fag

11 Citationer (Scopus)

Abstract

Let (Formula Presented) be a homogeneous space (Formula Presented) of a real reductive Lie group (Formula Presented) with a reductive subgroup (Formula Presented). The investigation concerns the quantitative decay of matrix coefficients on (Formula Presented) under the assumption that (Formula Presented) is of spherical type, that is, minimal parabolic subgroups have open orbits on (Formula Presented).

Originalsprog	Engelsk
Tidsskrift	Mathematische Zeitschrift
Vol/bind	278
Udgave nummer	1-2
Sider (fra-til)	229-249
ISSN	0025-5874
DOI	https://doi.org/10.1007/s00209-014-1313-7
Status	Udgivet - 11 sep. 2014

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10.1007/s00209-014-1313-7

Citationsformater

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T1 - Decay of matrix coefficients on reductive homogeneous spaces of spherical type

AU - Krötz, Bernhard

AU - Sayag, Eitan

AU - Schlichtkrull, Henrik

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Y1 - 2014/9/11

N2 - Let (Formula Presented) be a homogeneous space (Formula Presented) of a real reductive Lie group (Formula Presented) with a reductive subgroup (Formula Presented). The investigation concerns the quantitative decay of matrix coefficients on (Formula Presented) under the assumption that (Formula Presented) is of spherical type, that is, minimal parabolic subgroups have open orbits on (Formula Presented).

AB - Let (Formula Presented) be a homogeneous space (Formula Presented) of a real reductive Lie group (Formula Presented) with a reductive subgroup (Formula Presented). The investigation concerns the quantitative decay of matrix coefficients on (Formula Presented) under the assumption that (Formula Presented) is of spherical type, that is, minimal parabolic subgroups have open orbits on (Formula Presented).

U2 - 10.1007/s00209-014-1313-7

DO - 10.1007/s00209-014-1313-7

M3 - Journal article

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VL - 278

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EP - 249

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 1-2

ER -

Decay of matrix coefficients on reductive homogeneous spaces of spherical type

Abstract

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