Abstract:
We study the properties of Rademacher chaos related to its “lacunarity”. It is proved that Rademacher chaos of arbitrary order $d$ is a $2^{-d}$-uniqueness system as well as a system of strict convergence in the wide (not narrow) sense.
Keywords:Rademacher functions, Walsh functions, Rademacher chaos, lacunary sequence, $\varepsilon$-uniqueness system, system of strict convergence.
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