Open AccessOn Distributions of Trigonometric Polynomials in Gaussian Random Variables
Author(s) -
Georgii I. Zelenov
Publication year - 2021
Publication title -
izvestiâ irkutskogo gosudarstvennogo universiteta. seriâ "matematika"/izvestiâ irkutskogo gosudarstvennogo universiteta. seria matematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.411
H-Index - 3
eISSN - 2541-8785
pISSN - 1997-7670
DOI - 10.26516/1997-7670.2021.37.77
Subject(s) - trigonometry , mathematics , gaussian , random variable , variance (accounting) , combinatorics , pure mathematics , statistics , mathematical analysis , physics , accounting , quantum mechanics , business
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 themselves.