CONDITIONAL GENERALIZED FOURIER-FEYNMAN TRANSFORM OF FUNCTIONALS IN A FRESNEL TYPE CLASS

Title & Authors
CONDITIONAL GENERALIZED FOURIER-FEYNMAN TRANSFORM OF FUNCTIONALS IN A FRESNEL TYPE CLASS
Chang, Seung-Jun;

Abstract
In this paper we dene the concept of a conditional generalized Fourier-Feynman transform on very general function space $\small{C_{a,b}}$[0, T]. We then establish the existence of the conditional generalized Fourier-Feynman transform for functionals in a Fresnel type class. We also obtain several results involving the conditional transform. Finally we present functionals to apply our results. The functionals arise naturally in Feynman integration theories and quantum mechanics.
Keywords
generalized Brownian motion;Fresnel type class;generalized Fourier-Feynman transform;conditional generalized Feynman integral;conditional generalized Fourier-Feynman transform;
Language
English
Cited by
1.
GENERALIZED FOURIER-FEYNMAN TRANSFORM AND SEQUENTIAL TRANSFORMS ON FUNCTION SPACE,;;

대한수학회지, 2012. vol.49. 5, pp.1065-1082
1.
GENERALIZED FOURIER-FEYNMAN TRANSFORM AND SEQUENTIAL TRANSFORMS ON FUNCTION SPACE, Journal of the Korean Mathematical Society, 2012, 49, 5, 1065
2.
Effect of drift of the generalized Brownian motion process: an example for the analytic Feynman integral, Archiv der Mathematik, 2016, 106, 6, 591
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