Unitarity of Generalized Fourier–Gauss Transforms

DOI10.1080/07362990600751837zbMath1115.60067OpenAlexW2031504693MaRDI QIDQ5484526

Nobuaki Obata, Un Cig Ji

Publication date: 21 August 2006

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362990600751837

zbMATH Keywords

unitarityBoson Fock spacewhite noise theoryFourier-Gauss transformKuo's Fourier transformgeneralized Fourier-Gauss transformgeneralized dilation

Mathematics Subject Classification ID

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

Related Items (2)

Two generalizations of Mehler's formula in white noise analysis ⋮ Implementation problem for the canonical commutation relation in terms of quantum white noise derivatives

Cites Work

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• 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
• Integral representation of second quantization and its application to white noise analysis
• Fourier-Wiener transforms of analytic functionals
• UNITARITY OF KUO'S FOURIER–MEHLER TRANSFORM

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