Orbital measures on \(\mathrm{SU}(2)/\mathrm{SO}(2)\)

DOI10.1007/s00605-015-0812-xzbMath1331.43005arXiv1405.4674OpenAlexW1549601683MaRDI QIDQ895433

Boudjemâa Anchouche, Sanjiv Kumar Gupta, Alain Plagne

Publication date: 3 December 2015

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4674

zbMATH Keywords

exponential sumsspherical functionssymmetric spacebi-invariant measure

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 (5)

THE SMOOTHNESS OF ORBITAL MEASURES ON NONCOMPACT SYMMETRIC SPACES ⋮ 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 ⋮ Convolution of $\chi$-orbital Measures on Complex Grassmannians ⋮ Unnamed Item

Cites Work

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• \(L^2\)-singular dichotomy for orbital measures of classical compact Lie groups
• Introduction to harmonic analysis and generalized Gelfand pairs
• Smoothness of convolution powers of orbital measures on the symmetric space \(\mathrm{SU}(n)/\mathrm{SO}(n)\)
• CONVOLUTIONS OF GENERIC ORBITAL MEASURES IN COMPACT SYMMETRIC SPACES
• Lie groups beyond an introduction

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