On Fourier transform of generalized Brownian functionals

DOI10.1016/0047-259X(82)90075-6zbMath0491.60039OpenAlexW2074505185MaRDI QIDQ1167476

Hui-Hsiung Kuo

Publication date: 1982

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(82)90075-6

zbMATH Keywords

renormalizationgeneralized multiple Wiener integralintegral representation theoremCausal analysisgeneralized functionals of white noise

Mathematics Subject Classification ID

Gaussian processes (60G15) Brownian motion (60J65) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Generalized stochastic processes (60G20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Nontrigonometric harmonic analysis (42C99) Distributions on infinite-dimensional spaces (46F25)

Related Items

White noise approach to stochastic integration ⋮ Euler's theorem for homogeneous white noise operators ⋮ Brownian functionals and applications ⋮ Two generalizations of Mehler's formula in white noise analysis ⋮ The Fourier transform in white noise calculus ⋮ Unitarity of Generalized Fourier–Gauss Transforms ⋮ Generalized functions on infinite dimensional spaces and its applications to white noise calculus ⋮ UNITARITY OF KUO'S FOURIER–MEHLER TRANSFORM ⋮ Fourier-Mehler transforms of generalized Brownian functionals ⋮ Some cauchy problems in white noise analysis and associated semigroups of operators

Cites Work

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• Generalized Brownian functionals and the Feynman integral
• Calculus on Gaussian white noise. I
• Calculus on Gaussian white noise. II
• Integration by parts for abstract Wiener measures
• Generalized multiple Wiener integrals