Generalized Fourier-Feynman transform of bounded cylinder functions on the function space \(C_{a, b}[0, T]\)
DOI10.5666/kmj.2024.64.2.219zbMATH Open1545.4201MaRDI QIDQ6585071
Publication date: 9 August 2024
Published in: Kyungpook Mathematical Journal (Search for Journal in Brave)
generalized analytic Feynman integralgeneralized Brownian motion processcylinder functiongeneralized analytic Fourier-Feynman transformgeneral Wiener space
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) 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)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Notes on the Feynman integral. III: The Schrödinger equation
- Analytic Feynman integral solutions of an integral equation related to the Schrödinger equation
- An \(L_2\) analytic Fourier-Feynman transform
- Scale-invariant measurability in Wiener space
- An \(L_p\) analytic Fourier-Feynman transform
- A survey of results involving transforms and convolutions in function space
- Generalized analytic Fourier-Feynman transform of functionals in a Banach algebra \(\mathcal F^{a,b}_{A_{1},A_{2}}\)
- 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
- Evaluation Formulas for Conditional Function Space Integrals I
- Cylinder Functions in the Fresnel Class of Functions on Abstract Wiener Spaces
- Analytic Fourier-Feynman Transforms and Convolution
- Generalized Fourier-Feynman transforms and a first variation on function space
- Functions in the Fresnel Class
- Integration by parts formulas involving generalized Fourier-Feynman transforms on function space
This page was built for publication: Generalized Fourier-Feynman transform of bounded cylinder functions on the function space \(C_{a, b}[0, T]\)
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6585071)