Analytic version of test functionals, Fourier transform, and a characterization of measures in white noise calculus

From MaRDI portal
Publication:1178606

DOI10.1016/0022-1236(91)90115-LzbMath0764.46041MaRDI QIDQ1178606

Yuh-Jia Lee

Publication date: 26 June 1992

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




Related Items

Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures, Analytic characterizations of infinite dimensional distributions, A white noise approach to infinitely divisible distributions on Gel'fand triple, Products and transforms of white-noise functionals (in general setting), WHITE NOISE ANALYSIS ON A NEW SPACE OF HIDA DISTRIBUTIONS, On a dual pair of spaces of smooth and generalized random variables, THE RIESZ REPRESENTATION THEOREM ON INFINITE DIMENSIONAL SPACES AND ITS APPLICATIONS, A generalization of the Riesz representation theorem to infinite dimensions, The Segal-Bargmann transform for Lévy functionals, Stochastic integral convergence: a white noise calculus approach, White noise delta functions and continuous version theorem, A duality theorem between spaces of holomorphic functions of exponential growth, HIERARCHY OF LÉVY–LAPLACIANS AND QUANTUM STOCHASTIC PROCESSES, Continuity of affine transformations of white noise test functionals and applications, AN APPLICATION OF THE SEGAL–BARGMANN TRANSFORM TO THE CHARACTERIZATION OF LÉVY WHITE NOISE MEASURES, A Unified Characterization Theorem in White Noise Theory, A recurrence formula with respect to the Cameron–Storvick type theorem of the 𝒯-transform, ROLES OF LOG-CONCAVITY, LOG-CONVEXITY, AND GROWTH ORDER IN WHITE NOISE ANALYSIS, ANALYTIC CHARACTERIZATION OF ONE-MODE INTERACTING FOCK SPACE, Characterization of S-transform for general construction of infinite-dimensional distributions, Analysis of generalized Lévy white noise functionals, Sheffer homeomorphisms of spaces of entire functions in infinite dimensional analysis, Paley-Wiener theorem for white noise analysis, Stochastic Differential Equations in White Noise Space



Cites Work