Shifting and variational properties for Fourier-Feynman transform and convolution

DOI10.1155/2015/580653zbMath1341.46027OpenAlexW1731727965WikidataQ59112851 ScholiaQ59112851MaRDI QIDQ886936

Byoung Soo Kim

Publication date: 27 October 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/580653

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Brownian motion (60J65) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items

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

Cites Work

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• The Feynman integral of quadratic potentials depending on two time variables
• An \(L_2\) analytic Fourier-Feynman transform
• Scale-invariant measurability in Wiener space
• An \(L_p\) analytic Fourier-Feynman transform
• Relationships among the first variation, the convolution product, and the Fourier-Feynman transform
• A survey of results involving transforms and convolutions in function space
• Fourier-Feynman transform, convolution and first variation
• Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals
• Change of scale formulas for Wiener integrals related to Fourier-Feynman transform and convolution
• Analytic Fourier-Feynman Transforms and Convolution
• Space-Time Approach to Non-Relativistic Quantum Mechanics