HIDA DISTRIBUTION CONSTRUCTION OF NON-GAUSSIAN REFLECTION POSITIVE GENERALIZED RANDOM FIELDS

DOI10.1142/S0219025709003550zbMath1181.60055OpenAlexW1977565617MaRDI QIDQ3635999

Minoru W. Yoshida, Sergio A. Albeverio

Publication date: 30 June 2009

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

Full work available at URL: https://doi.org/10.1142/s0219025709003550

zbMATH Keywords

random fieldGaussian white noiseHida distributionmultiple stochastic integral\(S\)-transformWick power

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Linear symmetric and selfadjoint operators (unbounded) (47B25) White noise theory (60H40) Axiomatic quantum field theory; operator algebras (81T05) Stochastic integrals (60H05)

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