UNITARITY OF KUO'S FOURIER–MEHLER TRANSFORM

DOI10.1142/S0219025704001487zbMath1079.60065OpenAlexW2035921276MaRDI QIDQ4474485

Un Cig Ji, Nobuaki Obata

Publication date: 12 July 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025704001487

zbMATH Keywords

Fourier transformGaussian spacegeneralized white noise functional

Mathematics Subject Classification ID

White noise theory (60H40) Distributions on infinite-dimensional spaces (46F25)

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Cites Work

• Fourier-Mehler transforms of generalized Brownian functionals
• Calculus on Gaussian white noise. I
• Integral transforms of analytic functions on abstract Wiener spaces
• On Fourier transform of generalized Brownian functionals
• Transformations for white noise functionals
• White noise calculus and Fock space
• Transformation groups on white noise functionals and their applications
• Transformations on white noise functions associated with second order differential operators of diagonal type
• Transforms on white noise functionals with their applications to Cauchy problems