scientific article

zbMath0734.60001MaRDI QIDQ4002721

Jens Erik Fenstad, Tom Lindstrøm, Sergio A. Albeverio, Raphael J. Høegh-Krohn

Publication date: 18 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Boltzmann equationnonstandard analysisFeynman path integralshyperfinite Dirichlet formshyperfinite models for quantum field theory and polymersnonstandard approach to probability theoryperturbations of local time functionalsspectral decomposition and nonstandard methods on Banach spacesultraproduct construction for the nonstandard universe of internal objects relative to a superstructure

Mathematics Subject Classification ID

Martingales with continuous parameter (60G44) Stochastic analysis (60H99) Research exposition (monographs, survey articles) pertaining to probability theory (60-02) Foundations of stochastic processes (60G05) Other applications of nonstandard models (economics, physics, etc.) (03H10)

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The theory of non-Archimedean generalized functions and its applications to quantum mechanics and field theory ⋮ Nonstandard extensions of uniform algebraic systems ⋮ Banach-Kantorovich spaces associated with the order hulls of decomposable lattice-normed spaces ⋮ Hyperfinite approximations of compact groups and their representations ⋮ Potentials of zero radius and Carleman operators ⋮ Unnamed Item ⋮ Optimal controls for stochastic systems with singular noise

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