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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.

KEYWORDS

Locally Convex Space; Regular Function; Residue

Cite this paper

L. Ma -The Theory of Vector-Valued Function in Locally Convex Space,- Applied Mathematics, Vol. 3 No. 8, 2012, pp. 903-906. doi: 10.4236-am.2012.38133.





Autor: Lixin Ma

Fuente: http://www.scirp.org/



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