Shifting and modulation for Fourier-Feynman transform of functionals in a generalized Fresnel class

DOI10.11568/KJM.2017.25.3.335zbMath1474.28021OpenAlexW2758894208MaRDI QIDQ5208542

Byoung Soo Kim

Publication date: 8 January 2020

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/view/536

zbMATH Keywords

Fourier-Feynman transformanalytic Feynman integralmodulationshiftinggeneralized Fresnel calss

Mathematics Subject Classification ID

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

Cites Work

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• Analytic and sequential Feynman integrals on abstract Wiener and Hilbert spaces, and a Cameron-Martin formula
• Mathematical theory of Feynman path integrals
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• Scale-invariant measurability in Wiener space
• An \(L_p\) analytic Fourier-Feynman transform
• Fourier-Feynman transform, convolution and first variation
• Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals
• FOURIER-FEYNMAN TRANSFORMS FOR FUNCTIONALS IN A GENERALIZED FRESNEL CLASS
• Analytic Fourier-Feynman Transforms and Convolution
• Analytic Fourier-Feynman transform and convolution of functionals on abstract Wiener space.

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