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

DOI10.1080/10652460802091773zbMath1156.28005OpenAlexW2032476224MaRDI QIDQ3541141

Young Sik Kim

Publication date: 25 November 2008

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

Full work available at URL: https://doi.org/10.1080/10652460802091773

zbMATH Keywords

Fourier-Feynman transformWiener integralcylinder functionsWiener spacesFeynman integral

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items

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

Cites Work

• Relationships among transforms, convolutions, and first variations
• A change of scale formula for Wiener integrals on abstract Wiener spaces
• A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space
• The translation pathology of Wiener space
• Transformations of Wiener integrals under translations
• 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
• The behavior of measure and measurability under change of scale in Wiener space