English

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

Group Theory 2023-02-28 v1 Functional Analysis Representation Theory

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.

Keywords

Cite

@article{arxiv.2302.13716,
  title  = {Riesz operators and $L^{p}$-boundary representations for hyperbolic groups},
  author = {Adrien Boyer and Jean-Martin Paoli},
  journal= {arXiv preprint arXiv:2302.13716},
  year   = {2023}
}

Comments

22 pages

R2 v1 2026-06-28T08:50:26.791Z