The Fourier transform in white noise calculus

DOI10.1016/0047-259X(89)90069-9zbMath0686.60005MaRDI QIDQ1262604

Hui-Hsiung Kuo

Publication date: 1989

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

zbMATH Keywords

Fourier transformrenormalizationGaussian measuregeneralized Brownian functionalGross Laplaciantermpered distributionsVolterra Laplacian

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Generalized stochastic processes (60G20) Probability theory on linear topological spaces (60B11) Distributions on infinite-dimensional spaces (46F25)

Related Items

Euler's theorem for homogeneous white noise operators, A delta white noise functional, Lévy Laplacian of generalized functions on a nuclear space, Wiener distributions and white noise analysis, A (C_o)-group generated by the lévy laplacian, Multi-parameter transformation groups on white noise functionals, Some cauchy problems in white noise analysis and associated semigroups of operators

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