Geodesic
On Certain Properties of Rademacher Chaos
Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 654-666

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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. 
@article{MZM_2012_91_5_a1,
     author = {S. V. Astashkin and R. S. Sukhanov},
     title = {On {Certain} {Properties} of {Rademacher} {Chaos}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {654--666},
     publisher = {mathdoc},
     volume = {91},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a1/}
}
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S. V. Astashkin; R. S. Sukhanov. On Certain Properties of Rademacher Chaos. Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 654-666. http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a1/