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

DOI10.1016/j.jfa.2016.04.001zbMath1342.22035arXiv1407.8006OpenAlexW2963225356MaRDI QIDQ281507

Bernhard Krötz, Henrik Schlichtkrull, Friedrich Knop, Eitan Sayag

Publication date: 11 May 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.8006

zbMATH Keywords

\(L^{p}\)-integrabilityharmonic analysis on reductive spaceshomogenous spacesreal spherical spaces

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Differential geometry of symmetric spaces (53C35)

Related Items (7)

Classification of reductive real spherical pairs. I: The simple case ⋮ The infinitesimal characters of discrete series for real spherical spaces ⋮ Harmonic analysis for real spherical spaces ⋮ Geometric counting on wavefront real spherical spaces ⋮ Plancherel theory for real spherical spaces: Construction of the Bernstein morphisms ⋮ Vanishing at infinity on homogeneous spaces of reductive type ⋮ Classification of reductive real spherical pairs. II: The semisimple case

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