The Cameron-Storvick function space integral: An L(Lp, Lp′) theory

DOI10.1017/S0027763000017189zbMath0307.28011OpenAlexW1498574569MaRDI QIDQ4064240

David Skoug, Gerald W. Johnson

Publication date: 1976

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000017189

Mathematics Subject Classification ID

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

Related Items (3)

A conditional Fourier-Feynman transform and conditional convolution product with change of scales on a function space. II ⋮ Noncommutative operations on Wiener functionals and Feynman's operational calculus ⋮ Rotation of Gaussian paths on Wiener space with applications

Cites Work

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• The Cameron-Storvick function space integral: The \(L_1\) theory
• Cameron and Storvick's function space integral for a Banach space of functionals generated by 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\(_2\)
• An operator valued function space integral applied to multiple integrals of functions of class L₁

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