CONVOLUTIONS OF GENERIC ORBITAL MEASURES IN COMPACT SYMMETRIC SPACES

DOI10.1017/S0004972709000148zbMath1170.43004OpenAlexW2071351111MaRDI QIDQ3633340

Kathryn E. Hare, Sanjiv Kumar Gupta

Publication date: 18 June 2009

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

Full work available at URL: https://doi.org/10.1017/s0004972709000148

zbMATH Keywords

absolutely continuous measurecompact symmetric spacesdouble coset

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Differential geometry of symmetric spaces (53C35) Analysis on other specific Lie groups (43A80)

Related Items (6)

SMOOTHNESS OF CONVOLUTION PRODUCTS OF ORBITAL MEASURES ON RANK ONE COMPACT SYMMETRIC SPACES ⋮ The smoothness of convolutions of orbital measures on complex Grassmannian symmetric spaces ⋮ Orbital measures on \(\mathrm{SU}(2)/\mathrm{SO}(2)\) ⋮ The smoothness of convolutions of zonal measures on compact symmetric spaces ⋮ CONVOLUTION OF ORBITAL MEASURES IN SYMMETRIC SPACES ⋮ The absolute continuity of convolutions of orbital measures in symmetric spaces

Cites Work

• Unnamed Item
• Harmonic analysis on nilpotent groups and singular integrals. II: Singular kernels supported on submanifolds
• Zonal measure algebras on isotropy irreducible homogeneous spaces
• \(L^ p\)-\(L^ q\) estimates for orbital measures and Radon transforms on compact Lie groups and Lie algebras
• Fonctions Spheriques Des Espaces Symetriques Compacts
• Sums of adjoint orbits
• Operators and Harmonic Analysis on the Sphere

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