THE SMOOTHNESS OF ORBITAL MEASURES ON NONCOMPACT SYMMETRIC SPACES

DOI10.1017/S1446788721000033MaRDI QIDQ5058686

Sanjiv Kumar Gupta, Kathryn E. Hare

Publication date: 23 December 2022

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

Full work available at URL: https://arxiv.org/abs/2009.13976

zbMATH Keywords

symmetric spacespherical functionorbital measure

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Harmonic analysis and spherical functions (43A90)

Cites Work

• The absolute continuity of convolutions of orbital measures in symmetric spaces
• \(L^2\)-singular dichotomy for orbital measures of classical compact Lie groups
• The spherical Fourier transform of rapidly decreasing functions. A simple proof of a characterization due to Harish-Chandra, Helgason, Trombi, and Varadarajan
• Orbital measures on \(\mathrm{SU}(2)/\mathrm{SO}(2)\)
• Absolute continuity of convolutions of orbital measures on Riemannian symmetric spaces
• \(L^{2}\)-singular dichotomy for orbital measures of classical simple Lie algebras
• Zonal measure algebras on isotropy irreducible homogeneous spaces
• Smoothness of the Radon-Nikodym derivative of a convolution of orbital measures on compact symmetric spaces of rank one
• The size of characters of exceptional lie groups
• A Uniform Expansion for the Eigenfunction of a Singular Second-Order Differential Operator
• CONVOLUTION OF ORBITAL MEASURES ON SYMMETRIC SPACES OF TYPE AND
• Convolution of orbital measures on symmetric spaces: A survey
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