A bounded convergence theorem for the Feynman integral

DOI10.1063/1.526289zbMath0547.28009OpenAlexW2150079933MaRDI QIDQ3338495

Gerald W. Johnson

Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526289

zbMATH Keywords

Wiener measureanalytic, operator-valued Feynman integralbounded convergence theorem for the Feynman integralDyson expansion of the Feynman integralstability theorem for the Feynman integral

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (5)

An analytic operator-valued generalized Feynman integral on function space ⋮ A dominated-type convergence theorem for the Feynman integral ⋮ Observation of bilinear systems with application to biological control ⋮ The Product of Strong Operator Measurable Functions is Strong Operator Measurable ⋮ Stability theorem for the Feynman integral via time continuation

Cites Work

• The Cameron-Storvick function space integral: The \(L_1\) theory
• A Banach algebra of Feynman integrable functionals with application to an integral equation formally equivalent to Schrödinger's equation
• An operator valued function space integral applied to integrals of functions of class L\(_2\)
• An Operator-Valued Function-Space Integral Applied to Integrals of Functions of Class L ₁
• An operator valued function space integral applied to multiple integrals of functions of class L₁

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