AN APPLICATION OF THE SEGAL–BARGMANN TRANSFORM TO THE CHARACTERIZATION OF LÉVY WHITE NOISE MEASURES

DOI10.1142/S0219025710004012zbMath1209.28021MaRDI QIDQ3580206

Yuh-Jia Lee, Hsin-Hung Shih

Publication date: 11 August 2010

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

zbMATH Keywords

Gaussianinfinitely divisible distributionLévy white noise measurePoisson, Gamma, Pascal distribution

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Probability measures on topological spaces (60B05) White noise theory (60H40) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Distributions on infinite-dimensional spaces (46F25)

Cites Work

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• ANALYTIC CHARACTERIZATION OF ONE-MODE INTERACTING FOCK SPACE
• Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures
• Orthogonal polynomials in Stein's method

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