Tempered reductive homogeneous spaces

DOI10.4171/JEMS/578zbMath1332.22015arXiv1211.1203OpenAlexW3105997587MaRDI QIDQ907272

Yves Benoist, Toshiyuki Kobayashi

Publication date: 25 January 2016

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.1203

zbMATH Keywords

homogeneous spacessymmetric spacesLie groupsmatrix coefficientstempered representations

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46)

Related Items

A criterion for integrability of matrix coefficients with respect to a symmetric space ⋮ Wave front sets of reductive Lie group representations ⋮ Tempered homogeneous spaces III ⋮ Estimates for matrix coefficients of representations ⋮ TEMPERED HOMOGENEOUS SPACES IV ⋮ Relationship between orbit decomposition on the flag varieties and multiplicities of induced representations ⋮ Decay estimates for matrix coefficients of unitary representations of semisimple Lie groups ⋮ Wave front sets of reductive Lie group representations II ⋮ Wave front sets of reductive Lie group representations. III. ⋮ On distinguished square-integrable representations for Galois pairs and a conjecture of Prasad ⋮ Temperedness criterion of the tensor product of parabolic induction for \(\mathrm{GL}_n \)

Cites Work

• On the support of Plancherel measure
• Proper actions on reductive homogeneous spaces
• The Plancherel decomposition for a reductive symmetric space. II: Representation theory
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