Rotation of Gaussian paths on Wiener space with applications

DOI10.1215/17358787-2017-0057zbMath1407.46033OpenAlexW2785498440MaRDI QIDQ1790174

Seung Jun Chang, Jae Gil Choi

Publication date: 2 October 2018

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1517972422

zbMATH Keywords

Gaussian processrotation theoremgeneralized analytic Fourier-Feynman transformmultiple generalized analytic Fourier-Feynman transform

Mathematics Subject Classification ID

Gaussian processes (60G15) Brownian motion (60J65) 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)

Related Items (7)

Generalized sequential Feynman integral and Fourier-Feynman transform ⋮ Generalized sequential convolution product for the generalized sequential Fourier-Feynman transform ⋮ Parts formulas involving the Fourier-Feynman transform associated with Gaussian paths on Wiener space ⋮ Algebraic structure of the \(L_2\) analytic Fourier-Feynman transform associated with Gaussian paths on Wiener space ⋮ Analytic Fourier-Feynman transforms associated with bounded linear operators on abstract Wiener spaces ⋮ Unnamed Item ⋮ Unnamed Item

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