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Matematicheskie Zametki, 2012, Volume 91, Issue 5, Pages 654–666
DOI: https://doi.org/10.4213/mzm8859 (Mi mzm8859) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On Certain Properties of Rademacher Chaos

S. V. Astashkin, R. S. Sukhanov

Samara State University
Full-text PDF (508 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm8859
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, ε-uniqueness system, system of strict convergence.
Received: 31.03.2011
English version:
Mathematical Notes, 2012, Volume 91, Issue 5, Pages 613–624
DOI: https://doi.org/10.1134/S0001434612050021
Bibliographic databases:
Document Type: Article
UDC: 517.518.36+517.521.2
Language: Russian
Citation: S. V. Astashkin, R. S. Sukhanov, “On Certain Properties of Rademacher Chaos”, Mat. Zametki, 91:5 (2012), 654–666; Math. Notes, 91:5 (2012), 613–624
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    1. A. D. Kazakova, M. G. Plotnikov, “Mnozhestva edinstvennosti dlya podsistem trigonometricheskoi sistemy”, Matem. zametki, 117:1 (2025), 79–90  mathnet  crossref
    2. G. A. Karagulyan, V. G. Karagulyan, “On Uniqueness Properties of Rademacher Chaos Series”, Math. Notes, 114:6 (2023), 1225–1232  mathnet  mathnet  crossref  scopus
    3. M. G. Plotnikov, “Uniqueness sets of positive measure for the trigonometric system”, Izv. Math., 86:6 (2022), 1179–1203  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    4. Plotnikov M., “On the Vilenkin-Chrestenson Systems and Their Rearrangements”, J. Math. Anal. Appl., 492:1 (2020), 124391  crossref  mathscinet  isi
    5. Sergey V. Astashkin, The Rademacher System in Function Spaces, 2020, 163  crossref
    6. S. V. Astashkin, K. V. Lykov, “Sparse Rademacher chaos in symmetric spaces”, St. Petersburg Math. J., 28:1 (2017), 1–20  mathnet  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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