Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2011; 26(2): 273-289

Printed June 1, 2011

https://doi.org/10.4134/CKMS.2011.26.2.273

Copyright © The Korean Mathematical Society.

Conditional generalized Fourier-Feynman transform of functionals in a Fresnel type class

Seung Jun Chang

Dankook University

Abstract

In this paper we define 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

MSC numbers: Primary 60J65, 28C20

Stats or Metrics

Share this article on :

Related articles in CKMS

more +