Reflection positivity, duality, and spectral theory

DOI10.1007/s12190-018-1184-xOpenAlexW2800658120MaRDI QIDQ2317412

Feng Tian, Palle E. T. Jorgensen

Publication date: 9 August 2019

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05262

zbMATH Keywords

Hilbert spaceGaussian processesquantum field theoryrenormalizationrandom processesfactorizationrandom fieldsMarkov propertyreflection symmetryOsterwalder-Schrader positivityextensions of dissipative operators

Mathematics Subject Classification ID

Gaussian processes (60G15) Geometric probability and stochastic geometry (60D05) Continuous-time Markov processes on general state spaces (60J25) Algebras of unbounded operators; partial algebras of operators (47L60) Axiomatic quantum field theory; operator algebras (81T05) Numerical methods for integral transforms (65R10) Noncommutative geometry methods in quantum field theory (81T75) Quantum stochastic calculus (81S25) Diffusion processes and stochastic analysis on manifolds (58J65) Operator algebra methods applied to problems in quantum theory (81R15) Applications of functional analysis in probability theory and statistics (46N30)

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