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

Department of Mathematical Sciences

11 Citations (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).

Original language	English
Journal	Mathematische Zeitschrift
Volume	278
Issue number	1-2
Pages (from-to)	229-249
ISSN	0025-5874
DOIs	https://doi.org/10.1007/s00209-014-1313-7
Publication status	Published - 11 Sept 2014

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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).",

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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

PY - 2014/9/11

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

SN - 0025-5874

VL - 278

SP - 229

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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