The Cameron-Storvick function space integral: The \(L_1\) theory

DOI10.1016/0022-247X(75)90017-7zbMath0308.28006MaRDI QIDQ1218543

David Skoug, Gerald W. Johnson

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (9)

Generalized Feynman integrals: The \({\mathcal L} (L_ 2,L_ 2)\) theory ⋮ The Cameron-Storvick function space integral: An L(L_p, L_p′) theory ⋮ The Cameron-Storvick function space integral: An L(L_p, L_p′) theory ⋮ Integral transform as operator-valued Feynman integrals via conditional Feynman integrals over Wiener paths in abstract Wiener space ⋮ Operator-valued Feynman integral via conditional Feynman integrals on a function space ⋮ A bounded convergence theorem for the Feynman integral ⋮ Analytic operator-valued Feynman integrals of certain finite-dimensional functionals on function space ⋮ Jump-type processes and their applications in quantum mechanics ⋮ Perturbation theory and a dominated convergence theorem for Feynman integrals

Cites Work

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• Cameron and Storvick's function space integral for a Banach space of functionals generated by finite-dimensional functionals
• Operator-valued Feynman integrals of finite-dimensional functionals
• Feynman integrals of non-factorable finite-dimensional functionals
• 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\(_2\)
• Cameron and Storvick's Function Space Integral for Certain Banach Spaces of Functionals
• A Function Space Integral for a Banach Space of Functionals on Wiener Space
• Operator-Valued Feynman Integrals of Certain Finite-Dimensional Functionals
• An Operator Valued Function Space Integral: A Sequel to Cameron and Storvick's Paper
• 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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