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arXiv · 2105.02989

Paley's inequality for nonabelian groups

ChianYeong Chuah·Yazhou Han·Zhenchuan Liu·Tao Mei
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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 $\Lambda(p)$ sets on free groups.

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ChianYeong Chuah, Yazhou Han, Zhenchuan Liu, Tao Mei. 2021-05-06. Paley's inequality for nonabelian groups. https://arxiv.org/abs/2105.02989

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