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The Theory of Vector-Valued Function in Locally Convex Space

DOI: 10.4236/am.2012.38133, PP. 903-906

Keywords: Locally Convex Space, Regular Function, Residue

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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.

References

[1]  L. V. Ahlfors, “Complex Analysis,” McGraw-Hill, New York, 2004.
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[5]  Z. Zhen, “Schwarz’s Problems for Some Complex Partial Differential Equations of Second Order,” Beijing Math, 1996, Vol. 2, No. 1, pp. 131-137.

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