On the asymptotics of matrix coefficients of representations of SL(2,R)

2023/06/15 by Viktor Losert, Losert, Viktor
Mathematics · #22E30 (Primary) 33C80 #42A99 #47A67 (Secondary) #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Functional Analysis (math.FA) #Group Theory (math.GR) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2306.09038

openalex publication_date 2023/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study matrix coefficients of the unitary (and also the completely bounded) representations of SL(2;R) and its universal covering group. We describe the asymptotic distribution of column vectors in terms of Whittaker functions, exhibiting also a relationship to the Fourier transform.

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