학술저널
ANALYTIC OPERATOR-VALUED GENERALIZED FEYNMAN INTEGRALS ON FUNCTION SPACE
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 1
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2010.0337 - 48 (12 pages)
- 0
In this paper we use a generalized Brownian motion process to defined an analytic operator-valued generalized Feynman integral. We then obtain explicit formulas for the analytic operatorvalued generalized Feynman integrals for functionals of the form F(x) = fZ T01(t)dx(t), · · · ,Z T0n(t)dx(t),where x is a continuous function on [0, T] and {1, · · · , n} is anorthonormal set of functions from (L2a,b[0, T], k · ka,b).
1. Introduction
2. Definitions and preliminaries
3. Analytic operator-valued function space integral of finite dimensional functionals
4. Analytic operator-valued generalized Feynman integral
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