An analytic bilateral Laplace–Feynman transform on Hilbert space

DOI10.1142/S0129167X14501183zbMath1309.28013OpenAlexW2032020880MaRDI QIDQ5176901

Jae Gil Choi, Seung Jun Chang

Publication date: 5 March 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x14501183

zbMATH Keywords

analytic Feynman integralanalytic Fourier-Feynman transformanalytic bilateral Laplace-Feynman transformanalytic Gauss integralbilateral Laplace-Gauss transform

Mathematics Subject Classification ID

Brownian motion (60J65) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (1)

Bilateral Laplace–Feynman transforms on abstract Wiener spaces

Cites Work

• Scale-invariant measurability in abstract Wiener spaces
• Notes on the Feynman integral. II
• Gaussian measures in Banach spaces
• An \(L_2\) analytic Fourier-Feynman transform
• An \(L_p\) analytic Fourier-Feynman transform
• A survey of results involving transforms and convolutions in function space
• Notes on random functions
• The Ilstow and Feynman integrals
• A fundamental solution of the parabolic equation on Hilbert space
• Fourier-feynman transform, convolution and first variation of functional on abstract wiener
• Bilateral Laplace-Feynman transform for cylinder functionals on Wiener space
• The equivalence of two approaches to the Feynman integral
• Analytic Fourier-Feynman transform and convolution of functionals on abstract Wiener space.

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