On measurable polynomials on infinite-dimensional spaces

DOI10.1134/S1064562413020245zbMath1275.28002OpenAlexW2045966445MaRDI QIDQ2375979

Lavrentin M. Arutyunyan, Ivan S. Yaroslavtsev

Publication date: 25 June 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562413020245

zbMATH Keywords

infinite-dimensional spacemeasurable polynomialpolylinear function

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (8)

On continuous restrictions of measurable multilinear mappings ⋮ Brownian representations of cylindrical continuous local martingales ⋮ Absolute continuity of distributions of polynomials on spaces with log-concave measures ⋮ On some properties of polynomials measurable with respect to a Gaussian measure ⋮ On convergence in variation of weakly convergent multidimensional distributions ⋮ Fractional smoothness of images of logarithmically concave measures under polynomials ⋮ Two Properties of Vectors of Quadratic Forms in Gaussian Random Variables ⋮ Polynomials on spaces with logarithmically concave measures

Cites Work

• Asymptotic properties of polynomials in Gaussian random variables
• Topological Vector Spaces and Their Applications
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