A. Kazakova

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math.FA2026

On exact discretization of the $L_{2}$ -norm in the space spanned by the first $N$ Rademacher functions

Anna Kazakova

We study the exact discretization of the $L_{2}$ -norm in the space spanned by the first $N$ Rademacher functions. It is shown that the sufficient number of nodes for discretization w…

math.FA2026

On Lacunarity and Sidon-Type Properties for Subsystems of Characters of Compact Abelian Groups

Anna Kazakova

This paper studies subsystems that generalize Rademacher chaos to arbitrary systems of character of compact abelian groups. The properties of $q$ -lacunarity and $\frac{2 d}{d + 1}$ -Si…

math.FA2026

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

Anna Kazakova

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

On exact discretization of the L2​-norm in the space spanned by the first N Rademacher functions

On Lacunarity and Sidon-Type Properties for Subsystems of Characters of Compact Abelian Groups

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

On exact discretization of the $L_{2}$ -norm in the space spanned by the first $N$ Rademacher functions

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