A generalized analytic Fourier-Feynman transform on the product function space C_a,b²[0,T] and related topics

2013/09/27 by Jae Gil Choi, Choi, Jae Gil, Davis Skoug +3
Mathematics · Physics and Astronomy · #28C20 #60J65 #Advanced Differential Geometry Research #Advanced Mathematical Physics Problems #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:28C20 #msc:60J65

paper · pdf · doi:10.48550/arxiv.1309.7176

38 pages

arxiv created 2013/09/27 · openalex publication_date 2013/09/27 · arxiv updated 2013/09/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain various results involving the generalized analytic Fourier-Feynman transform and the first variation of functionals in a Fresnel type class defined on the product function space C_a,b²[0,T].

Related

• A Cameron-Storvick type theorem on C_a,b²[0,T] with applications
• Analytic Fourier-Feynman transforms via the series approximation
• Generalized Fourier--Feynman transforms and generalized convolution products on Wiener space II
• Algebraic structure of the L₂ analytic Fourier-Feynman transform associated with Gaussian processes on Wiener space
• Analytic operator-valued generalized Feynman integral on function space