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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2007; 44(2): 477-486

Printed March 1, 2007

Copyright © The Korean Mathematical Society.

Feynman integral, aspect of Dobrakov integral, I

Man Kyu Im and Brian Jefferies

Han Nam University, The University of New South Wales

Abstract

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This paper is the first in a series in which we consider bilinear integration with respect to measure-valued measure. We use the integration techniques to establish generalized Egorov theorem and Vitali theorem.

Keywords: measure-valued measure, Dobrakov integral

MSC numbers: Primary 81S40, 58D30; Secondary 46G10, 28B05

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