Feynman's operational calculus with arbitrary measures: an evolution equation in the general case and examples
DOI10.1007/s00020-022-02694-4zbMath1497.44007OpenAlexW4223982967WikidataQ114018383 ScholiaQ114018383MaRDI QIDQ2140256
Publication date: 20 May 2022
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00020-022-02694-4
evolution equationsFeynman-Kac formulasFeynman integralsdisentanglingFeynman's operational calculustime-ordering
One-parameter semigroups and linear evolution equations (47D06) Calculus of Mikusi?ski and other operational calculi (44A40) Functional calculus for linear operators (47A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Path integrals in quantum mechanics (81S40) Measures and integration on abstract linear spaces (46G12) Commutative Banach algebras and commutative topological algebras (46J99)
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