An Operator-Valued Yeh-Wiener Integral and a Kac-Feynman Wiener Integral Equation

DOI10.2307/2160489zbMath0796.60084OpenAlexW4255835099MaRDI QIDQ4290821

Chull Park, David Skoug

Publication date: 20 September 1994

Full work available at URL: https://doi.org/10.2307/2160489

zbMATH Keywords

Gaussian processstochastic integralWiener spaceoperator-valued function space integralKac-Feynman Wiener integral equationYeh-Wiener integrals

Mathematics Subject Classification ID

Gaussian processes (60G15) Brownian motion (60J65) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (4)

Generalized conditional Yeh-Wiener integrals and a Wiener integral equation ⋮ Multiple path-valued conditional Yeh-Wiener integrals ⋮ Yeh-Fourier-Feynman transforms and convolutions associated with Gaussian processes ⋮ Grid-valued conditional Yeh-Wiener integrals and a Kac-Feynman Wiener integral equation

Cites Work

• Operator-valued Feynman integrals via conditional Feynman integrals
• A simple formula for conditional Wiener integrals with applications
• A Banach algebra of Feynman integrable functionals with application to an integral equation formally equivalent to Schrödinger's equation
• On Fredholm transformations in Yeh-Wiener space
• Conditional Yeh-Wiener Integrals with Vector-Valued Conditioning Functions
• Wiener Measure in a Space of Functions of Two Variables
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