Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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.
Complete list of metadata

Cited literature [37 references]  Display  Hide  Download
Contributor : Piotr Graczyk Connect in order to contact the contributor
Submitted on : Tuesday, November 25, 2014 - 12:37:31 PM
Last modification on : Wednesday, October 20, 2021 - 3:18:53 AM


Files produced by the author(s)


  • HAL Id : hal-01085251, version 2



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



Record views


Files downloads