Distribution of Polynomials in Many Variables and Nikolskii-Besov Spaces

Vladimir I. Bogachev

doi:10.14321/realanalexch.44.1.0049

Abstract

We discuss recent results and open problems connected with distributions of polynomials in many or infinitely many variables on spaces with Gaussian measures and Nikolskii--Besov spaces of fractional smoothness related to such distributions.

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Vladimir I. Bogachev. "Distribution of Polynomials in Many Variables and Nikolskii-Besov Spaces." Real Anal. Exchange 44 (1) 49 - 64, 2019. https://doi.org/10.14321/realanalexch.44.1.0049

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Published: 2019

First available in Project Euclid: 27 June 2019

zbMATH: 07088962

MathSciNet: MR3951333

Digital Object Identifier: 10.14321/realanalexch.44.1.0049

Subjects:

Primary: 28C20 , 46E39

Secondary: 46G25 , 60H07

Keywords: distributions of polynomials , Gaussian measure , Nikolskii-Besov spaces

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