SMOOTHNESS OF CONVOLUTION PRODUCTS OF ORBITAL MEASURES ON RANK ONE COMPACT SYMMETRIC SPACES

DOI10.1017/S000497271500180XzbMath1356.43005arXiv1510.06259MaRDI QIDQ3186389

Kathryn E. Hare, Jimmy He

Publication date: 9 August 2016

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

Full work available at URL: https://arxiv.org/abs/1510.06259

zbMATH Keywords

spherical functionsabsolute continuityorbital measurerank one symmetric space

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Differential geometry of symmetric spaces (53C35) Analysis on other specific Lie groups (43A80)

Related Items

The smoothness of convolutions of orbital measures on complex Grassmannian symmetric spaces

Uses Software

• DLMF

Cites Work

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• \(L^2\)-singular dichotomy for orbital measures of classical compact Lie groups
• Orbital measures on \(\mathrm{SU}(2)/\mathrm{SO}(2)\)
• Absolute continuity of convolutions of orbital measures on Riemannian symmetric spaces
• Zonal measure algebras on isotropy irreducible homogeneous spaces
• An approach to symmetric spaces of rank one via groups of Heisenberg type
• The smoothness of convolutions of zonal measures on compact symmetric spaces
• CONVOLUTIONS OF GENERIC ORBITAL MEASURES IN COMPACT SYMMETRIC SPACES