A REPRESENTATION FOR THE INVERSE GENERALISED FOURIER–FEYNMAN TRANSFORM VIA CONVOLUTION PRODUCT ON FUNCTION SPACE
DOI10.1017/S0004972716001039zbMath1370.28005OpenAlexW2571376356MaRDI QIDQ5269719
Publication date: 27 June 2017
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0004972716001039
Gaussian processconvolution productexponential-type functionalgeneralised analytic Fourier-Feynman transformgeneralised Brownian motion process
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 (2)
Cites Work
- Unnamed Item
- \(L_2\)-sequential transforms on function space
- An \(L_2\) analytic Fourier-Feynman transform
- An \(L_p\) analytic Fourier-Feynman transform
- Convolution and Fourier-Feynman transforms
- A survey of results involving transforms and convolutions in function space
- Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals
- Sequential generalized transforms on function space
- Singularity of Gaussian measures on function spaces induced by Brownian motion processes with non-stationary increments
- GENERALIZED FOURIER-FEYNMAN TRANSFORM AND SEQUENTIAL TRANSFORMS ON FUNCTION SPACE
- Analytic Fourier-Feynman Transforms and Convolution
- Generalized Fourier-Feynman transforms and a first variation on function space
- Integration by parts formulas involving generalized Fourier-Feynman transforms on function space
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