Simple setting for white noise calculus using Bargmann space and Gauss transform

DOI10.32917/hmj/1206127827zbMath0893.46037OpenAlexW1527437266MaRDI QIDQ1894028

Yoshitaka Yokoi

Publication date: 29 March 1998

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1206127827

zbMATH Keywords

complexificationBargmann spacepositive functionalrepresenting measureGauss transformspace of polynomialswhite noise functionalsFernique type estimatereal Gel'fand triplet

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Probability theory on linear topological spaces (60B11) Distributions on infinite-dimensional spaces (46F25) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (2)

Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures ⋮ A white noise approach to infinitely divisible distributions on Gel'fand triple

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