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CONDITIONAL INTEGRALS ON ABSTRACT WIENER AND HILBERT SPACES WITH APPLICATION TO FEYNMAN INTEGRALS
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 Title & Authors
CONDITIONAL INTEGRALS ON ABSTRACT WIENER AND HILBERT SPACES WITH APPLICATION TO FEYNMAN INTEGRALS
Chung, Dong-Myung; Kang, Soon-Ja; Lim, Kyung-Pil;
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 Abstract
In this paper, we define conditional integrals on abstract Wiener and Hilbert spaces and then obtain a formula for evaluating the integrals. We use this formula to establish the existence of conditional Feynman integrals for the classes (B) and (H) of functions on abstract Wiener and Hilbert spaces and then specialize this result to provide the fundamental solution to the Schrodinger equation with the forced harmonic oscillator.tor.
 Keywords
Feynman integrals;conditional analytic Feynman integral;abstract Wiener space;lifting;fundamental solution.;
 Language
English
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