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The Theory of Vector-Valued Function in Locally Convex Space
Department of Mathematics, Dezhou University, Dezhou 253023, China
- 1 Department of Mathematics, Dezhou University, Dezhou 253023, China
Applied Mathematics·Volume 03 (2012)·Pages 903–906·Published 28 August 2012·DOI10.4236/am.2012.38133
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Abstract
In this paper, the vector-valued regular functions are extended to the locally convex space. The residues theory of the functions in the locally convex space is achieved. Thereby the Cauchy theory and Cauchy integral formula are extended to the locally convex space.
KeywordsLocally Convex SpaceRegular FunctionResidue
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