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http://dx.doi.org/10.4134/CKMS.2011.26.2.273

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

Chang, Seung-Jun (Department of Mathematics Dankook University)
Publication Information
Communications of the Korean Mathematical Society / v.26, no.2, 2011 , pp. 273-289 More about this Journal
Abstract
In this paper we dene the concept of a conditional generalized Fourier-Feynman transform on very general function space $C_{a,b}$[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;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
Times Cited By SCOPUS : 1
연도 인용수 순위
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