Results 11 to 20 of about 32,582 (169)
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
openaire +2 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
openaire +1 more source
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. +4 more
openaire +2 more sources
Feynman diagrams in four-dimensional holomorphic theories and the Operatope
Journal of High Energy Physics, 2023 We study a class of universal Feynman integrals which appear in four-dimensional holomorphic theories. We recast the integrals as the Fourier transform of a certain polytope in the space of loop momenta (a.k.a. the “Operatope”).
Kasia Budzik +4 more
doaj +1 more source
Translation Theorems for Fourier-Feynman Transforms and Conditional Fourier-Feynman Transforms
Rocky Mountain Journal of Mathematics, 2000 In this paper, the authors establish translation theorems for generalized Fourier-Feynman transforms of very general functionals defined on a Wiener space. They also obtain general translation theorems for generalized conditional Fourier-Feynman transforms and show that these general translation theorems apply to two well-known classes of functionals ...
Change, Seung Jun +2 more
openaire +2 more sources
Wightman-Function Approach to the Relativistic Complex-Ghost Field Theory [PDF]
, 2006 The relativistic complex-ghost field theory is covariantly formulated in terms of Wightman functions. The Fourier transform of the 2-point Wightman function of a complex-ghost pair is explicitly calculated, and its spontaneous breakdown of Lorentz ...
Nakanishi, Noboru
core +3 more sources
Convolution and Fourier-Feynman Transforms
Rocky Mountain Journal of Mathematics, 1997 For a class of functionals on the Wiener space of the form \[ F(x)= \exp\Biggl\{\int^T_0 f(t,x(t))dt\Biggr\}, \] a new definition of the convolution product is proposed. This convolution product is commutative. The \(L_p\) analytic Fourier-Feynman transform, introduced by \textit{G. W. Johnson} and \textit{D. L. Skoug} [Mich. Math. J. 26, 103-127 (1979;
Huffman, Timothy +2 more
openaire +2 more sources
A Partial Derivative Approach to the Change of Scale Formula for the Function Space Integral
Entropy, 2020 We investigate the partial derivative approach to the change of scale formula for the functon space integral and we investigate the vector calculus approach to the directional derivative on the function space and prove relationships among the Wiener ...
Young Sik Kim
doaj +1 more source
Sequential Fourier-Feynman transforms
Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1985 Dans leur ouvrage: ''A simple definition of the Feynman integral with applications'' [Mem. Am. Math. Soc. 288, 46 p. (1983; Zbl 0527.28015)] les AA. avaient introduit une intéressante ''intégrale de Feynman séquentielle'' qui permettait ''d'intégrer'' une large classe de fonctions. Dans cet article les AA.
Cameron, R. H., Storvick, D. A.
openaire +3 more sources
Waves on Noncommutative Spacetime and Gamma-Ray Bursts [PDF]
, 1999 Quantum group Fourier transform methods are applied to the study of processes on noncommutative Minkowski spacetime $[x^i,t]=\imath\lambda x^i$. A natural wave equation is derived and the associated phenomena of {\it in vacuo} dispersion are discussed ...
Amelino-Camelia G. +9 more
core +2 more sources