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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 -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.