White noise delta functions and continuous version theorem

DOI10.1017/S0027763000004293zbMath0766.46033MaRDI QIDQ4039420

Nobuaki Obata

Publication date: 13 June 1993

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

zbMATH Keywords

projective limitnuclear Fréchet spacefunctions on Gaussian spaceGaussian measure on the strong dual spacenoise delta functionstest white noise functionalunique continuous version

Mathematics Subject Classification ID

Brownian motion (60J65) Measures and integration on abstract linear spaces (46G12) Stochastic analysis (60H99) Distributions on infinite-dimensional spaces (46F25)

Cites Work

• Rotation-invariant operators on white noise functionals
• The spaces of trial and generalized functions of infinite number of variables
• Analytic version of test functionals, Fourier transform, and a characterization of measures in white noise calculus
• A remark on the space of testing random variables in the white noise calculus
• The Feynman integrand as a Hida distribution
• Infinite dimensional rotations and Laplacians in terms of white noise calculus

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