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INTEGRATION STRUCTURES FOR THE OPERATOR-VALUED FEYNMAN INTEGRAL
Jefferies, Brian Korean Mathematical Society 2001 대한수학회지 Vol.38 No.2
The analytic in mass operator-valued Feynman integral is related to integration with respect to unbounded set functions formed from the semigroup obtained by analytic continuation of the heat semigroup and the spectral measure of multiplication by characteristics functions.
FEYNMAN INTEGRAL, ASPECT OF DOBRAKOV INTEGRAL, I
Im, Man-Kyu,Jefferies, Brian Korean Mathematical Society 2007 대한수학회지 Vol.44 No.2
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.