Uniformly bounded representations and completely bounded multipliers of SL(2,R)
Group Theory
2017-07-27 v1 Functional Analysis
Abstract
We estimate the norms of many matrix coefficients of irreducible uniformly bounded representations of SL(2, R) as completely bounded multipliers of the Fourier algebra. Our results suggest that the known inequality relating the uniformly bounded norm of a representation and the completely bounded norm of its coefficients may not be optimal.
Keywords
Cite
@article{arxiv.1707.08329,
title = {Uniformly bounded representations and completely bounded multipliers of SL(2,R)},
author = {Francesca Astengo and Michael G. Cowling and Bianca Di Blasio},
journal= {arXiv preprint arXiv:1707.08329},
year = {2017}
}