Relationship between the analytic generalized Fourier-Feynman transform and the function space integral

DOI10.1007/s00025-021-01421-6zbMath1479.46058OpenAlexW3158102805MaRDI QIDQ2038861

Jae Gil Choi

Publication date: 7 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01421-6

zbMATH Keywords

Gaussian processgeneralized Brownian motion processanalytic generalized Fourier-Feynman transformexponential type functional

Mathematics Subject Classification ID

Gaussian processes (60G15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

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• A simple definition of the Feynman integral, with applications
• Generalized Fourier-Feynman transforms and a first variation on function space
• Integration by parts formulas involving generalized Fourier-Feynman transforms on function space
• Space-Time Approach to Non-Relativistic Quantum Mechanics

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