Uniform Approximation on Disks in Cn
As the two-dimensional analogue of an are in C n , we take a disk in C n defined as follows. Let D be the closed unit disk in the ζ-plane and let f l,…, f n be continuous functions defined on D. Assume that the map ζ → (f 1(ζ),…, f n (ζ)) is one to one on D. The image D̃ of D under this map we call a disk in C n .
KeywordsBANACH Algebra Uniform Approximation Closed Unit Disk Smooth Submanifolds Convex Disk
Unable to display preview. Download preview PDF.