\(L^2\)-singular dichotomy for orbital measures of classical compact Lie groups

DOI10.1016/j.aim.2009.06.008zbMath1179.43006OpenAlexW1992614979WikidataQ115362107 ScholiaQ115362107MaRDI QIDQ734821

Sanjiv Kumar Gupta, Kathryn E. Hare

Publication date: 14 October 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2009.06.008

zbMATH Keywords

singular measureconjugacy classcompact Lie grouporbital measure

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Integration on manifolds; measures on manifolds (58C35) Analysis on other specific Lie groups (43A80)

Related Items (12)

A geometric proof of the \(L^{2}\)-singular dichotomy for orbital measures on Lie algebras and groups ⋮ 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 ⋮ 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 ⋮ THE -SINGULAR DICHOTOMY FOR EXCEPTIONAL LIE GROUPS AND ALGEBRAS ⋮ The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces ⋮ Sums of adjoint orbits and \(L^2\)-singular dichotomy for \(SU(m)\)

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