Fock factorizations, and decompositions of theL2spaces over general Lévy processes

DOI10.1070/RM2003v058n03ABEH000627zbMath1060.46056arXivmath/0304282OpenAlexW2026830409WikidataQ114102359 ScholiaQ114102359MaRDI QIDQ4829612

Anatoly M. Vershik, Natalia V. Tsilevich

Publication date: 29 November 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304282

zbMATH Keywords

Gaussian white noisePoisson processLévy processFock structure

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) White noise theory (60H40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Applications of functional analysis in probability theory and statistics (46N30) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

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