Fourier-Mehler transforms of generalized Brownian functionals

DOI10.3792/pjaa.59.312zbMath0545.60045OpenAlexW1977419061MaRDI QIDQ797216

Hui-Hsiung Kuo

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.312

zbMATH Keywords

renormalizationcausal analysisgeneralized Brownian functionalsgeneralized notion of Fourier transform

Mathematics Subject Classification ID

Brownian motion (60J65) Multipliers for harmonic analysis in several variables (42B15) Generalized stochastic processes (60G20) Stochastic analysis (60H99)

Related Items

Two generalizations of Mehler's formula in white noise analysis, Semigroups associated with generalized Brownian functionals, A (C_o)-group generated by the lévy laplacian, The Fourier transform in white noise calculus, Unitarity of Generalized Fourier–Gauss Transforms, UNITARITY OF KUO'S FOURIER–MEHLER TRANSFORM, Multi-parameter transformation groups on white noise functionals, Some cauchy problems in white noise analysis and associated semigroups of operators

Cites Work

• On Fourier transform of generalized Brownian functionals
• Generalized multiple Wiener integrals
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