AM  Vol.3 No.8 , August 2012
The Theory of Vector-Valued Function in Locally Convex Space
Author(s) Lixin Ma*
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.

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.
References
[1]   L. V. Ahlfors, “Complex Analysis,” McGraw-Hill, New York, 2004.

[2]   S. Lang, “Complex Analysis,” Springer-Verlag, New York, 2003.

[3]   C. G. Hu, “Vector-Valued Function and Its Applications,” Kluwer Academic Publishers, Dordrecht, Boston, London, 1992.

[4]   C. P. Xie and Y. S. Zhao, “Basic Boundary Value Problem for Complex Harmonic Functions,” Beijing Math, 1997, Vol. 3, No. 1, pp. 20-35.

[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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