대한수학회지 (Journal of the Korean Mathematical Society)
- 제33권4호
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- Pages.993-1008
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- 1996
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
WICK DERIVATIONS ON WHITE NOISE FUNCTIONALS
- Chung, Dong-Myung (Department of Mathematics Sogang University ) ;
- Chung, Tae-Su (Department of Mathematics Sogang University)
- 발행 : 1996.11.01
초록
The white noise analysis, initiated by Hida [3] in 1975, has been developed to an infinite dimensional distribution theory on Gaussian space $(E^*, \mu)$ as an infinite dimensional analogue of Schwartz distribution theory on Euclidean space with Legesgue measure. The mathematical framework of white noise analysis is the Gel'fand triple $(E) \subset (L^2) \subset (E)^*$ over $(E^*, \mu)$ where $\mu$ is the standard Gaussian measure associated with a Gel'fand triple $E \subset H \subset E^*$.