Convolution of Orbital Measures on Symmetric Spaces of type Cp and Dp
| Contribuinte(s) |
Laboratoire Angevin de REcherche en MAthématiques (LAREMA) ; Centre National de la Recherche Scientifique (CNRS) - Université d'Angers (UA) Department of Mathematics and Computer Science [Laurentian Univ.] ; laurantian university |
|---|---|
| Data(s) |
2015
|
| Resumo |
International audience <p>We study the absolute continuity of the convolution δ♮eX⋆δ♮eY of two orbital measures on the symmetric spaces SO0(p,p)/SO(p)×SO(p), SU(p,p)/S(U(p)×U(p)) and Sp(p,p)/Sp(p)×Sp(p). We prove sharp conditions on X, Y∈a for the existence of the density of the convolution measure. This measure intervenes in the product formula for the spherical functions.</p> |
| Identificador |
hal-01392101 https://hal.archives-ouvertes.fr/hal-01392101 DOI : 10.1017/S1446788714000494 OKINA : ua3023 |
| Idioma(s) |
en |
| Publicador |
HAL CCSD |
| Relação |
info:eu-repo/semantics/altIdentifier/doi/10.1017/S1446788714000494 |
| Fonte |
Journal of the Australian Mathematical Society https://hal.archives-ouvertes.fr/hal-01392101 Journal of the Australian Mathematical Society , 2015, 98 (02), pp.232-256. <10.1017/S1446788714000494 > |
| Palavras-Chave | #Convolution #product formula #spherical functions #symmetric space #[MATH] Mathematics [math] |
| Tipo |
info:eu-repo/semantics/article Journal articles |
