J. Korean Math. Soc. 2006; 43(3): 461-489
Printed May 1, 2006
Copyright © The Korean Mathematical Society.
Kun Sik Ryu and Man Kyu Im
Han Nam University, Han Nam University
In this article, we establish the existence theorem for measure-valued Dyson series and show that it satisfies the Volterra-type integral equation. Furthermore, we prove the stability theorems for measure-valued Dyson series.
Keywords: analogue of Wiener measure, Bartle integral, Dyson series, measure-valued Feynman-Kac formula, Volterra integral equation, stability theorem
MSC numbers: Primary 28C35, 28C20, 45D05, 47A56
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