On functions of negative type on the Olshanski spherical pair $(SL(\infty),SU(\infty))$
Representation Theory
2016-07-01 v1 Classical Analysis and ODEs
Abstract
In this paper, using a generalized Bochner type representation for Olshanski spherical pairs, we prove the boundedness of every -biinvariant continuous function of negative type on the infinite dimensional special linear group .
Keywords
Cite
@article{arxiv.1606.09359,
title = {On functions of negative type on the Olshanski spherical pair $(SL(\infty),SU(\infty))$},
author = {Marouane Rabaoui},
journal= {arXiv preprint arXiv:1606.09359},
year = {2016}
}
Comments
13 pages, accepted for publication in Journal of Lie Theory