Non-Gaussian complex random fields, their skeletons and path measures

DOI10.1007/s11118-005-8567-yzbMath1103.60034OpenAlexW2087899514MaRDI QIDQ818896

Thomas Deck

Publication date: 21 March 2006

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-005-8567-y

zbMATH Keywords

holomorphic functionalsquasi invariance of path measures

Mathematics Subject Classification ID

Random fields (60G60) General theory of stochastic processes (60G07) Continuity and singularity of induced measures (60G30)

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Cites Work

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• Hankel operators over complex manifolds.
• Mathematical characterization of the physical vacuum for a linear Bose- Einstein field
• Spherically invariant processes: Their nonlinear structure, discrimination, and estimation
• On the skeleton and the Malliavin derivatives of holomorphic functions on a complex Wiener space
• Properties of holomorphic Wiener functions -- skeleton, contraction, and local Taylor expansion
• Hankel operators over the complex Wiener space
• Finite rank Hankel operators over the complex Wiener space
• Generalized functions on infinite dimensional spaces and its applications to white noise calculus
• On derivatives of holomorphic functions on a complex Wiener space
• Regular version of holomorphic Wiener function
• Holomorphic functions on balls in an almost complex abstract Wiener space
• Accessibility of infinite dimensional Brownian motion to holomorphically exceptional set
• Quasi-finiteness of the interaction Hamiltonian of certain quantum fields
• On the convergence of sums of independent Banach space valued random variables
• On equivalence of infinite product measures
• Some remarks about generalized functionals of complex white noise
• Examples of Non-Gaussian Quasi-Invariant Distributions in Hilbert Space
• CONTINUOUS DEPENDENCE ON INITIAL DATA FOR SOLUTIONS OF NONLINEAR STOCHASTIC EVOLUTION EQUATIONS
• Analytic functions, Cauchy formula, and stationary phase on a real abstract Wiener space