Absolute continuity of convolutions of orbital measures on Riemannian symmetric spaces

DOI10.1016/J.JFA.2010.05.017zbMath1198.53053OpenAlexW2071833839MaRDI QIDQ990166

Patrice Sawyer, Piotr Graczyk

Publication date: 6 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.05.017

zbMATH Keywords

convolutionspherical functionssymmetric spaceproduct formula

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Differential geometry of symmetric spaces (53C35) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (8)

THE SMOOTHNESS OF ORBITAL MEASURES ON NONCOMPACT SYMMETRIC SPACES ⋮ SMOOTHNESS OF CONVOLUTION PRODUCTS OF ORBITAL MEASURES ON RANK ONE COMPACT SYMMETRIC SPACES ⋮ The absolute continuity of convolutions of orbital measures in \(SO(2n+1)\) ⋮ The smoothness of convolutions of orbital measures on complex Grassmannian symmetric spaces ⋮ The absolute continuity of convolutions of orbital measures in symmetric spaces ⋮ The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces ⋮ Convolution of orbital measures on symmetric spaces: A survey ⋮ CONVOLUTION OF ORBITAL MEASURES ON SYMMETRIC SPACES OF TYPE AND

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• Strong approximate transitivity, polynomial growth, and spread out random walks on locally compact groups
• The Choquet-Deny theorem and distal properties of totally disconnected locally compact groups of polynomial growth
• Lie groups beyond an introduction

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