Paley's inequality for nonabelian groups
Functional Analysis
2021-05-10 v1
Abstract
This article studies Paley's theory for lacunary Fourier series on (nonabelian) discrete groups. The results unify and generalize the work of Rudin for abelian discrete groups and the work of Lust-Piquard and Pisier for operator valued functions, and provide new examples of Paley sequences and sets on free groups.
Keywords
Cite
@article{arxiv.2105.02989,
title = {Paley's inequality for nonabelian groups},
author = {ChianYeong Chuah and Yazhou Han and Zhenchuan Liu and Tao Mei},
journal= {arXiv preprint arXiv:2105.02989},
year = {2021}
}