Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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PRODUCTS OF WHITE NOISE FUNCTIONALS AND ASSOCIATED DERIVATIONS

  • Chung, Dong-Myung (Department of Mathematics Sogang University) ;
  • Chung, Tae-Su (Department of Mathematics Meijo University) ;
  • Ji, Un-Cig (Global Analysis Research Center Department of Mathematics Seoul National University)
  • Published : 1998.08.01
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Abstract

Let the Gel'fand triple (E)$_{\beta}$/ ⊂ ( $L^2$) ⊂ (E)＊$_{\beta}$/ be the framework of white noise distribution theory constructed by Kon-dratiev and Streit. A new class of continuous multiplicative products on (E)$_{\beta}$/ is introduced and associated continuous derivations on (E)$_{\beta}$/ are discussed. Algebraic characterizations of first order differential operators on (E)$_{\beta}$/ are proved. Some applications are also discussed. $\beta$/ are proved. Some applications are also discussed.

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