Results 1 to 10 of about 32,626 (182)

Shifting and Variational Properties for Fourier-Feynman Transform and Convolution [PDF]

Journal of Function Spaces, 2015
Shifting, scaling, modulation, and variational properties for Fourier-Feynman transform of functionals in a Banach algebra S are given. Cameron and Storvick's translation theorem can be obtained as a corollary of our result.
Byoung Soo Kim
doaj   +3 more sources

GENERALIZED FOURIER-FEYNMAN TRANSFORM AND SEQUENTIAL TRANSFORMS ON FUNCTION SPACE [PDF]

Journal of the Korean Mathematical Society, 2012
In this paper werst investigate the existence of the gener- alized Fourier-Feynman transform of the functional F given by F ( x) = ^ (( e1;x) ;:::; ( en;x) ) ; where ( e;x) denotes the Paley-Wiener-Zyg stochastic integral with x in a very general function space Ca;b(0 ;T ) and ^ is the Fourier transform of complex measure on B( R n ) withnite ...
Jae-Gil Choi, Seung-Jun Chang
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Conditional Fourier-Feynman Transforms with Drift on a Function Space

Journal of Function Spaces, 2019
In this paper we derive change of scale formulas for conditional analytic Fourier-Feynman transforms and conditional convolution products of the functions which are the products of generalized cylinder functions and the functions in a Banach algebra ...
Dong Hyun Cho, Suk Bong Park
doaj   +2 more sources

Fourier-Feynman transforms of unbounded functionals on abstract Wiener space

Open Mathematics, 2010
Abstract Huffman, Park and Skoug established several results involving Fourier-Feynman transform and convolution for functionals in a Banach algebra S on the classical Wiener space. Chang, Kim and Yoo extended these results to abstract Wiener space for a more generalized Fresnel class $$ \mathcal{F}_{\mathcal{A}_1 ,\mathcal{A}_2 } $$
Kim Byoung, Yoo Il, Cho Dong
doaj   +2 more sources

A Series Approximation for the Analytic Fourier–Feynman Transform on Wiener Space

Axioms
In this paper, we first establish an evaluation formula to calculate Wiener integrals of functionals on Wiener space. We then apply our evaluation formula to carry out easy an calculation for the analytic Fourier–Feynman transform of the functionals ...
Hyun Soo Chung
doaj   +2 more sources

A Composition Formula for the Modified Analytic Function Space Fourier–Feynman Transform

Mathematics
Composition formula is one of the most important research topics in functional analysis theory. Various relationships can be obtained using the composition formula.
Hyun Soo Chung
doaj   +2 more sources

Analytic Fourier-Feynman Transforms and Convolution [PDF]

Transactions of the American Mathematical Society, 1995
In this paper we develop an L p {L_p} Fourier-Feynman theory for a class of functionals on Wiener space of the form F ( x ) = f ( ∫ 0 T α 1
Huffman, Timothy, Park, Chull, Skoug, David   +2 more
openaire   +1 more source

Flow-oriented perturbation theory

Journal of High Energy Physics, 2023
We introduce a new diagrammatic approach to perturbative quantum field theory, which we call flow-oriented perturbation theory (FOPT). Within it, Feynman graphs are replaced by strongly connected directed graphs (digraphs).
Michael Borinsky, Zeno Capatti, Eric Laenen, Alexandre Salas-Bernárdez   +3 more
doaj   +1 more source

Generalized Fourier–Feynman transforms and generalized convolution products on Wiener space II [PDF]

Annals of Functional Analysis, 2020
The purpose of this article is to present the second type fundamental relationship between the generalized Fourier--Feynman transform and the generalized convolution product on Wiener space. The relationships in this article are also natural extensions (to the case on an infinite dimensional Banach space) of the structure which exists between the ...
Sang Kil Shim, Jae Gil Choi
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Sequential Fourier-Feynman transform, convolution and first variation [PDF]

Transactions of the American Mathematical Society, 2007
Cameron and Storvick introduced the concept of a sequential Fourier-Feynman transform and established the existence of this transform for functionals in a Banach algebra S ^ \hat {\mathcal S} of bounded functionals on classical Wiener space.
Chang, K. S., Cho, D. H., Kim, B. S., Song, T. S., Yoo, I.   +4 more
openaire   +2 more sources