A. Kazakova

collaborators

4 papers

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.

math.CA2026

On uniqueness sets and coefficients of multiple Walsh series converging over cubes

Anna Kazakova

We study problems on uniqueness sets ( $U$ -sets) for multiple Walsh series converging over cubes and the properties of the coefficients of such series. New broad classes of $U$ -sets…

math.CA2025

On multiple null-series in the Walsh system, M- and U- sets

A. D. Kazakova, M. G. Plotnikov

A family of M-sets and null-series for the d-dimensional Walsh system is constructed if we consider convergence over rectangles, cubes, or iterated convergence. Non-empty portions…

math.CA2025

On lacunarity and uniqueness for $p$ -ary analogues of Rademacher chaos

A. D. Kazakova, M. G. Plotnikov

For two systems of functions that are p-ary analogues of Rademacher chaos, their q-lacunarity is proved and their uniqueness sets are studied.

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

On uniqueness sets and coefficients of multiple Walsh series converging over cubes

On multiple null-series in the Walsh system, M- and U- sets

On lacunarity and uniqueness for p-ary analogues of Rademacher chaos

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

On lacunarity and uniqueness for $p$ -ary analogues of Rademacher chaos