Nonlinear functions of weak processes. I

DOI10.1016/0022-1236(69)90007-XzbMath0187.39201OpenAlexW2054396765MaRDI QIDQ2536589

Irving E. Segal

Publication date: 1969

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(69)90007-x

zbMATH Keywords

functional analysis

Related Items (20)

A recursion relation for the Wick products of the CAR algebra ⋮ Stochastic differential equations in quantum statistical mechanics. Observables and multiple Wiener integrals ⋮ The vacuum and lightcone quantization of interaction Hamiltonians ⋮ Notes towards the construction of nonlinear relativistic quantum fields. II: The basic nonlinear functions in general space-times ⋮ A second-quantized Kolmogorov-Chentsov theorem via the operator product expansion ⋮ Wick products of the free Bose field ⋮ The pressure is independent of the boundary conditions for $P\left( \phi \right)_2$ field theories ⋮ Analysis of Probabilistic and Parametric Reduced Order Models ⋮ Quantum interaction :φ44:, the construction of quantum field defined as a bilinear form ⋮ Dirichlet forms and diffusion processes on rigged Hilbert spaces ⋮ Measures on Schwartz distribution space and applications to \(P(\varphi)_2\) field theories ⋮ Stochastic phase-field modeling of brittle fracture: computing multiple crack patterns and their probabilities ⋮ Singular perturbations of positivity preserving semigroups via path space techniques ⋮ Wick products of the CCR algebra ⋮ Analysis of parametric models. Linear methods and approximations ⋮ Nonlinear functions of weak processes. II ⋮ Construction of non-linear local quantum processes. II ⋮ Hypercontra ctive semigroups and two dimensional self-coupled Bose fields ⋮ Quantum White Noises and Free Fields ⋮ Wiener-Itô decomposition of polynomial operators formed with boson quasi-free fields

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• Notes towards the construction of nonlinear relativistic quantum fields. II: The basic nonlinear functions in general space-times
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