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Funktsional'nyi Analiz i ego Prilozheniya, 2022, Volume 56, Issue 2, Pages 29–38
DOI: https://doi.org/10.4213/faa3960 (Mi faa3960) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Distributions of Polynomials in Gaussian Random Variables under Constraints on the Powers of Variables

E. D. Kosovabc

a Lomonosov Moscow State University
b National Research University "Higher School of Economics", Moscow
c Moscow Center for Fundamental and Applied Mathematics
Full-text PDF (563 kB) Citations (1)
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DOI: https://doi.org/10.4213/faa3960
Abstract: We study the densities of measures that are polynomial images of the standard Gaussian measure on $\mathbb{R}^n$. We assume that the degree of a polynomial is fixed and each variable appears in the monomials of the polynomial to powers bounded by another fixed number.
Keywords: distribution of a polynomial, distribution density, Kantorovich distance, total variation distance.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00432
Moscow Center of Fundamental and Applied Mathematics
Received: 16.11.2021
Revised: 26.02.2022
Accepted: 05.03.2022
English version:
Functional Analysis and Its Applications, 2022, Volume 56, Issue 2, Pages 101–109
DOI: https://doi.org/10.1134/S0016266322020034
Bibliographic databases:
Document Type: Article
UDC: 519.213, 517.518.2
Language: Russian
Citation: E. D. Kosov, “Distributions of Polynomials in Gaussian Random Variables under Constraints on the Powers of Variables”, Funktsional. Anal. i Prilozhen., 56:2 (2022), 29–38; Funct. Anal. Appl., 56:2 (2022), 101–109
Citation in format AMSBIB
\Bibitem{Kos22}
\by E.~D.~Kosov
\paper Distributions of Polynomials in Gaussian Random Variables under Constraints on the Powers of Variables
\jour Funktsional. Anal. i Prilozhen.
\yr 2022
\vol 56
\issue 2
\pages 29--38
\mathnet{http://mi.mathnet.ru/faa3960}
\crossref{https://doi.org/10.4213/faa3960}
\transl
\jour Funct. Anal. Appl.
\yr 2022
\vol 56
\issue 2
\pages 101--109
\crossref{https://doi.org/10.1134/S0016266322020034}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85139708710}
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  • https://www.mathnet.ru/eng/faa/v56/i2/p29
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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