Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2006; 43(4): 703-715

Printed July 1, 2006

Copyright © The Korean Mathematical Society.

The operational calculus for a measure-valued Dyson series

Kun Sik Ryu

Han Nam University

Abstract

Go to

Recently, we proved the existence theorem of measure-valued Feynman-Kac formula and showed that it satisfied Volterra's integral equation. In this paper, we establish the operational calculus for a measure-valued Dyson series and give some examples related to the measure-valued Dyson series.

Keywords: analogue of Wiener measure, measure-valued Dyson series, operational calculus, Bartle integral

MSC numbers: Primary 28C35, 28C20

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS

more +