CONVOLUTION OF ORBITAL MEASURES ON SYMMETRIC SPACES OF TYPE AND

DOI10.1017/S1446788714000494zbMath1314.43006arXiv1403.6098MaRDI QIDQ4983485

Patrice Sawyer, Piotr Graczyk

Publication date: 27 March 2015

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

Full work available at URL: https://arxiv.org/abs/1403.6098

zbMATH Keywords

spherical functionssymmetric spacesroot systemsorbital measures

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Differential geometry of symmetric spaces (53C35) Harmonic analysis and spherical functions (43A90)

Related Items (6)

THE SMOOTHNESS OF ORBITAL MEASURES ON NONCOMPACT 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 ⋮ A Laplace-type representation of the generalized spherical functions associated with the root systems of type \(A\) ⋮ The absolute continuity of convolutions of orbital measures in symmetric spaces ⋮ Convolution of orbital measures on symmetric spaces: A survey

Cites Work

• Strong central limit theorem for isotropic random walks in \({\mathbb{R}^d}\)
• Positive convolution structure for a class of Heckman-Opdam hypergeometric functions of type BC
• Absolute continuity of convolutions of orbital measures on Riemannian symmetric spaces
• Strong approximate transitivity, polynomial growth, and spread out random walks on locally compact groups
• The convolution structure for Jacobi function expansions
• On the product formula on noncompact Grassmannians
• Spherical Functions on SO₀(p, q)/ SO(p) × SO(q)
• Jacobi Polynomials, II. An Analytic Proof of the Product Formula

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