On lacunarity and uniqueness for $p$-ary analogues of Rademacher chaos
A.D. Kazakova, M.G. Plotnikov
TL;DR
This paper investigates the lacunarity and uniqueness properties of p-ary analogues of Rademacher chaos systems, providing new insights into their structural characteristics and uniqueness sets.
Contribution
It establishes q-lacunarity and studies the uniqueness sets for p-ary Rademacher chaos analogues, advancing understanding of their mathematical properties.
Findings
Proved q-lacunarity for p-ary Rademacher chaos systems
Analyzed the structure of their uniqueness sets
Enhanced theoretical understanding of p-ary chaos systems
Abstract
For two systems of functions that are p-ary analogues of Rademacher chaos, their q-lacunarity is proved and their uniqueness sets are studied.
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