Behaviour of the first variation under a Fourier–Feynman transform for cylinder functions on Wiener spaces II

DOI10.1080/10652460902945100zbMath1200.28016OpenAlexW1989742184MaRDI QIDQ5851705

Young Sik Kim

Publication date: 25 January 2010

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460902945100

zbMATH Keywords

Wiener integralfirst variationWiener spaceFourier-Feynman transforms

Mathematics Subject Classification ID

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

Cites Work

• Scale-invariant measurability in Wiener space
• An \(L_p\) analytic Fourier-Feynman transform
• Generalized transforms and convolutions
• Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals
• Behaviour of the first variation under a Fourier-Feynman transform for cylinder functions on abstract Wiener spaces
• Analytic Fourier-Feynman Transforms and Convolution
• Relationship between fourier-feynman transforms and wiener integrals on abstract wiener spaces^*
• Relationships between Fourier–Feynman transforms and Wiener integrals on abstract Wiener spaces II

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