A Unified Characterization Theorem in White Noise Theory

DOI10.1142/S0219025703001122zbMath1044.60056MaRDI QIDQ3043498

Un Cig Ji, Nobuaki Obata

Publication date: 6 August 2004

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

zbMATH Keywords

Fock space\(S\)-transformoperator symbolWhite noise theoryGâteaux-entire function

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) White noise theory (60H40) Spaces of linear operators; topological tensor products; approximation properties (46A32) Distributions on infinite-dimensional spaces (46F25)

Related Items (8)

Analytic characterizations of infinite dimensional distributions ⋮ Factorization property of convolutions of white noise operators ⋮ Quantum Lévy Laplacian and associated heat equation ⋮ White noise differential equations for vector-valued white noise functionals ⋮ CHARACTERIZATION OF OPERATORS ON A KONDRATIEV SPACE IN THE NON-GAUSSIAN SETTING: BIORTHOGONAL APPROACH ⋮ An implementation problem for boson fields and quantum Girsanov transform ⋮ Characterization of S-transform for general construction of infinite-dimensional distributions ⋮ Wick calculus for vector-valued Gaussian white noise unctionals

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