arXiv subjects

Guillaume Delord

Publications and source records attributed to Guillaume Delord.

2 recordsLinked to original sources

arXiv2026

A Riesz-Thorin Approach to the Rapid Decay Property for Free Groups

We establish $L^p$ bounds for operators associated with the quasi-regular representation of the free group on its Gromov boundary. The $p=2$ case recovers Haagerup's inequality, yielding a new interpolation-theoretic proof of the the Rapid Decay property for the free group.

math.GR↗

arXiv2025

Schur's orthogonality relations for the free group

Explicit convergence of suitably normalized integrals on balls where the integrand is the product of coefficients of the quasi-regular representation of the finitely generated free group.

math.RT↗