On Distributions of Trigonometric Polynomials in Gaussian Random Variables

We prove new results about the inclusion of distributions of trigonometric polynomials in Gaussian random variables to Nikolskii--Besov classes. In addition, we estimate the total variance distances between distributions of trigonometric polynomials via the $L^q$-distances between the polynomials th...

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Bibliographic Details
Main Author: G.I. Zelenov
Format: Article
Language:English
Published: Irkutsk State University 2021-09-01
Series:Известия Иркутского государственного университета: Серия "Математика"
Subjects:
Online Access:http://mathizv.isu.ru/en/article/file?id=1386