Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2001; 38(2): 349-363

Printed March 1, 2001

Copyright © The Korean Mathematical Society.

Integration structures for the operator-valued Feynman integral

Brian Jefferies

UNSW

Abstract

The analytic in mass operator-valued Feynman integral is related to integration with respect to unbounded set functions formed from the semigroups obtained by analytic continuation of the heat semigroup and the spectral measure of multiplication by characteristic functions.

Keywords: Feynman integral, path integral, operator-valued measure

MSC numbers: 46N50, 46G10, 28B05