[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2002.39.4.559

NEW RESULTS ON STABILITY PROPERTIES FOR THE FEYNMAN INTEGRAL VIA ADDITIVE FUNCTIONALS

Lim, Jung-Ah (Department of Mathematics and Statistics University of Nebraska-Lincoln)

Publication Information

Journal of the Korean Mathematical Society / v.39, no.4, 2002 , pp. 559-577 More about this Journal

Abstract

It is known that the analytic operator-valued Feynman integral exists for some "potentials" which we so singular that they must be given by measures rather than by functions. Corresponding stability results involving monotonicity assumptions have been established by the author and others. Here in our main theorem we prove further stability theorem without monotonicity requirements.

Keywords

analytic Feynman integral; stability theorem; generalized Kato class measure; smoothy measure; perturbation theorem; closed form; self-adjoint operator;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)
Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

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