A MULTIPLE GENERALIZED FOURIER–FEYNMAN TRANSFORM VIA A ROTATION ON WIENER SPACE

DOI10.1142/S0129167X12500681zbMath1250.28010OpenAlexW2152899565MaRDI QIDQ2909464

Seung Jun Chang, Jae Gil Choi, David Skoug

Publication date: 30 August 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x12500681

zbMATH Keywords

Gaussian processPaley-Wiener-Zygmund stochastic integralgeneralized convolution productgeneralized Fourier-Feynman transformmultiple generalized Fourier-Feynman transform

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) Other transforms and operators of Fourier type (43A32)

Related Items (13)

Generalized sequential Feynman integral and Fourier-Feynman transform ⋮ A rotation of admixable operators on abstract Wiener space with applications ⋮ A Cameron-Storvick theorem for the analytic Feynman integral associated with Gaussian paths on a Wiener space and applications ⋮ Parts formulas involving the Fourier-Feynman transform associated with Gaussian paths on Wiener 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 ⋮ Analytic Fourier-Feynman transforms associated with bounded linear operators on abstract Wiener spaces ⋮ Change of path formula for generalized Wiener integral with applications ⋮ Classes of Fourier-Feynman transforms on Wiener space ⋮ Rotation of Gaussian paths on Wiener space with applications ⋮ Unnamed Item ⋮ Rotation of Gaussian processes on function space ⋮ Multiple generalized analytic Fourier-Feynman transform via rotation of Gaussian paths on function space

Cites Work

• Unnamed Item
• Notes on the Feynman integral. II
• A Kac-Feynman integral equation for conditional Wiener integrals
• Scale-invariant measurability in Wiener space
• Relationships among transforms, convolutions, and first variations
• Relationships among the first variation, the convolution product, and the Fourier-Feynman transform
• Generalized transforms and convolutions
• Convolution and Fourier-Feynman transforms
• A survey of results involving transforms and convolutions in function space
• Notes on random functions
• MultipleL_pFourier–Feynman transforms on abstract Wiener space
• Relationships involving generalized fourier–feynman transform, convolution and first variation
• Generalized integral transforms and convolution products on function space

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