On Distributions of Trigonometric Polynomials in Gaussian Random Variables

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 Lq -distances between the polynomials thems...

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Veröffentlicht in:Izvestiâ Irkutskogo gosudarstvennogo universiteta. Seriâ "Matematika" (Online) 2021-01, Vol.37 (1), p.77-92
1. Verfasser: Zelenov, G.I.
Format: Artikel
Sprache:eng
Schlagworte:
distribution of a trigonometric polynomial
gaussian measure
nikolskii—besov class
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Zusammenfassung: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 Lq -distances between the polynomials themselves.
ISSN:1997-7670
2541-8785
DOI:10.26516/1997-7670.2021.37.77