TITLE:
The Theory of Vector-Valued Function in Locally Convex Space
AUTHORS:
Lixin Ma
KEYWORDS:
Locally Convex Space; Regular Function; Residue
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.8,
August
1,
2012
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.