Author(s)

Lixin Ma

Department of Mathematics, Dezhou University, Dezhou 253023, China.

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.

Locally Convex Space; Regular Function; Residue

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.