On functions of negative type on the Olshanski spherical pair (SL(∞),SU(∞))

2016/06/30 by Marouane Rabaoui, Rabaoui, Marouane
Mathematics · #22E30 (Primary) #43A35 #43A85 #43A90 (Secondary) #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Representation Theory (math.RT) #advanced mathematical theories #math.CA #math.RT #msc:22E30 #msc:43A35 #msc:43A85 #msc:43A90

paper · pdf · doi:10.48550/arxiv.1606.09359

13 pages, accepted for publication in Journal of Lie Theory

arxiv created 2016/06/30 · openalex publication_date 2016/06/30 · arxiv updated 2016/07/01 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28

Abstract

In this paper, using a generalized Bochner type representation for Olshanski spherical pairs, we prove the boundedness of every SU(∞)-biinvariant continuous function of negative type on the infinite dimensional special linear group SL(∞).

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