1996/07/04 by C. Becker, Claas Becker, R. Gielerak +6
Chemical Engineering · Mathematics · Physics and Astronomy · #Catalysis and Oxidation Reactions #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Probability (math.PR) #funct-an #math-ph #math.FA #math.MP #math.PR
paper · pdf · doi:10.48550/arxiv.funct-an/9607001
33 pages, Latex
arxiv created 1996/07/04 · openalex publication_date 1996/07/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Covariant stochastic partial differential equations are studied in any dimension. A special class of such equations is selected and it is proven that the solutions can be analytically continued to Minkowski space-time yielding tempered Wightman distributions which are covariant, obey the locality axiom and a weak form of the spectral axiom. Key words: stochastic partial differential equations, white noise, covariant Markov generalized random fields, Euclidean QFT, Schwinger functions, Wightman distributions