Generalized Feynman integrals: The \({\mathcal L} (L_ 2,L_ 2)\) theory

DOI10.1216/rmjm/1181072247zbMath0829.46033OpenAlexW1984604364MaRDI QIDQ1898290

Chull Park, David Skoug

Publication date: 17 September 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072247

zbMATH Keywords

Feynman integral of functionals of general stochastic processes

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Measures and integration on abstract linear spaces (46G12)

Related Items (13)

Generalized sequential Feynman integral and Fourier-Feynman transform ⋮ Note on generalized Wiener integrals ⋮ A rotation of admixable operators on abstract Wiener space with applications ⋮ Parts formulas involving the Fourier-Feynman transform associated with Gaussian paths on Wiener space ⋮ Cameron–Storvick theorem associated with Gaussian paths on function space ⋮ Algebraic structure of the \(L_2\) analytic Fourier-Feynman transform associated with Gaussian paths on Wiener space ⋮ \(L_2\)-sequential transforms on function space ⋮ Change of path formula on the function space with applications ⋮ Change of path formula for generalized Wiener integral with applications ⋮ Classes of Fourier-Feynman transforms on Wiener space ⋮ Relationships involving generalized fourier–feynman transform, convolution and first variation ⋮ Generalized integral transforms and convolution products on function space ⋮ Multiple generalized analytic Fourier-Feynman transform via rotation of Gaussian paths on function space

Cites Work

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• Generalized Feynman integrals via conditional Feynman integrals
• An operator valued function space integral applied to integrals of functions of class L\(_2\)
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• Conditional Analytic Feynman Integrals and a Related Schrödinger Integral Equation
• Operator-Valued Feynman Integrals of Certain Finite-Dimensional Functionals
• An Operator-Valued Function-Space Integral Applied to Integrals of Functions of Class L ₁
• The Cameron-Storvick function space integral: An L(L_p, L_p′) theory

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