Sidon-type inequalities for $p$-adic analogues of Rademacher chaos

TL;DR

This paper establishes a Sidon inequality for a generalized system extending Rademacher chaos to the p-ary case, advancing harmonic analysis in p-adic settings.

Contribution

It introduces a new Sidon inequality for p-ary Rademacher chaos systems, broadening the scope of harmonic analysis techniques.

Findings

Proved the $rac{2d}{d+1}$-Sidon inequality for p-ary Rademacher chaos systems.

Extended classical Rademacher chaos results to p-adic analogues.

Enhanced understanding of harmonic analysis in p-adic and chaos systems.

Abstract

We prove the $\frac{2d}{d+1}$-Sidon inequality for a system of functions representing the most general extension of the Rademacher $d$-chaos to the $p$-ary case.