Euclidean random fields obtained by convolution from generalized white noise

DOI10.1063/1.531259zbMath0841.60091OpenAlexW1978241429MaRDI QIDQ4873431

Jiang-Lun Wu, Sergio A. Albeverio

Publication date: 18 July 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531259

zbMATH Keywords

characteristic functionalEuclidean random fieldsanalytic continuation of the moment functions

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) General relativity (83C99)

Related Items (13)

Quantum fields obtained from convoluted generalized white noise never have positive metric ⋮ Non-Archimedean statistical field theory ⋮ On fractional stable processes and sheets: white noise approach ⋮ SYSTEMS OF CLASSICAL PARTICLES IN THE GRAND CANONICAL ENSEMBLE, SCALING LIMITS AND QUANTUM FIELD THEORY ⋮ Non-Archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields ⋮ A hyperfinite flat integral for generalized random fields ⋮ Remarks on some new models of interacting quantum fields with indefinite metric ⋮ Construction of \(p\)-adic covariant quantum fields in the framework of white noise analysis ⋮ CONVOLUTED GENERALIZED WHITE NOISE, SCHWINGER FUNCTIONS AND THEIR ANALYTIC CONTINUATION TO WIGHTMAN FUNCTIONS ⋮ Fractional generalized Lévy random fields as white noise functionals ⋮ 4D LOCAL QUANTUM FIELD THEORY MODELS FROM COVARIANT STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS I: GENERALITIES ⋮ Fractional Brownian motion and sheet as white noise functionals ⋮ Analysis on Poisson and Gamma Spaces

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