Convolution of Orbital Measures on Symmetric Spaces of type Cp and Dp

Abstract :

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.

Type de document :
Article dans une revue
Journal of the Australian Mathematical Society , 2015, 98 (02), pp.232-256. 〈10.1017/S1446788714000494 〉
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https://hal.archives-ouvertes.fr/hal-01392101
Contributeur : Okina Université d'Angers <>
Soumis le : vendredi 4 novembre 2016 - 10:10:29
Dernière modification le : lundi 5 février 2018 - 15:00:03

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Piotr Graczyk, Peter Sawyer. Convolution of Orbital Measures on Symmetric Spaces of type Cp and Dp. Journal of the Australian Mathematical Society , 2015, 98 (02), pp.232-256. 〈10.1017/S1446788714000494 〉. 〈hal-01392101〉

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