Convolution of orbital measures on symmetric spaces: a survey

Abstract : This survey summarizes a long and fruitful collaboration of the authors on the properties of the convolutions of orbital measures on symmetric spaces or, equivalently, on the product formula for spherical functions on such spaces. A special accent is put on recent results in the singular case. They are presented in a simplified and unified manner in this survey. New results for the flat symmetric spaces are also included, including a new short proof of the Thompson's conjecture in the complex case. Important open problems and possible applications of our results are proposed.
Liste complète des métadonnées

Littérature citée [37 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-01085251
Contributeur : Piotr Graczyk <>
Soumis le : mardi 25 novembre 2014 - 12:37:31
Dernière modification le : lundi 5 février 2018 - 15:00:03

Fichier

surveyLAST.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01085251, version 2

Collections

Citation

P Graczyk, P Sawyer. Convolution of orbital measures on symmetric spaces: a survey. 2014. 〈hal-01085251v2〉

Partager

Métriques

Consultations de la notice

139

Téléchargements de fichiers

111