Algebraic structure of the \(L_2\) analytic Fourier-Feynman transform associated with Gaussian paths on Wiener space
DOI10.3934/cpaa.2020169zbMath1444.42005OpenAlexW3020441282MaRDI QIDQ2184883
Publication date: 2 June 2020
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2020169
Gaussian processfree groupPaley-Wiener-Zygmund stochastic integralFourier-Feynman transform associated with Gaussian pathslinear operator isomorphismmonoid isomorphism
Gaussian processes (60G15) Brownian motion (60J65) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Probabilistic methods in Banach space theory (46B09) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
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Cites Work
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- Notes on the Feynman integral. II
- A Kac-Feynman integral equation for conditional Wiener integrals
- An \(L_2\) analytic Fourier-Feynman transform
- Scale-invariant measurability in Wiener space
- An \(L_p\) analytic Fourier-Feynman transform
- Generalized Feynman integrals via conditional Feynman integrals
- Generalized transforms and convolutions
- A survey of results involving transforms and convolutions in function space
- Rotation of Gaussian paths on Wiener space with applications
- Notes on random functions
- Generalized Feynman integrals: The \({\mathcal L} (L_ 2,L_ 2)\) theory
- Generalized Fourier-Feynman transforms and generalized convolution products on Wiener space
- Note on generalized Wiener integrals
- A MULTIPLE GENERALIZED FOURIER–FEYNMAN TRANSFORM VIA A ROTATION ON WIENER SPACE
- A Note on Paley-Wiener-Zygmund Stochastic Integrals
- Analytic Fourier-Feynman Transforms and Convolution
- Rotations in the Product of Two Wiener Spaces
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