Riesz operators and L^p-boundary representations for hyperbolic groups

2023/02/27 by Adrien Boyer, Boyer, Adrien, Jean-Martin Paoli +1
Earth and Planetary Sciences · Mathematics · Medicine · #22D12 #43A15 #43A90 #FOS: Mathematics #Functional Analysis (math.FA) #Group Theory (math.GR) #Mathematical Analysis and Transform Methods #Medical Imaging Techniques and Applications #Representation Theory (math.RT) #Seismic Imaging and Inversion Techniques

paper · pdf · doi:10.48550/arxiv.2302.13716

openalex publication_date 2023/02/27 · openalex created_date 2023/03/03 · openalex updated_date 2026/07/28

Abstract

We investigate Lp-boundary representations of hyperbolic groups. We prove that such representations are irreducible if and only if the corresponding Riesz operators are injective.

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