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multi-volume work: Feynman-Kac-Type Theorems and Gibbs Measures on Path Space
Multi-Volume Work

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space

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Book Requires Authentication Unlicensed Licensed 2020
Volume 34/1 in the series De Gruyter Studies in Mathematics

This is the second updated and extended edition of the successful book on Feynman-Kac theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. The first volume concentrates on Feynman-Kac-type formulae and Gibbs measures.

Book Requires Authentication Unlicensed Licensed 2020
Volume 34/2 in the series De Gruyter Studies in Mathematics

This is the second updated and extended edition of the successful book on Feynman-Kac theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. In the second volume, these ideas are applied principally to a rigorous treatment of some fundamental models of quantum field theory.

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