Mathematics – Complex Variables
Scientific paper
2010-09-27
Mathematics
Complex Variables
Scientific paper
We identify all uniform limits of polynomials on the closed unit disc with respect to the chordal metric \c{hi} . One such limit is f=oo. The other limits are holomorphic functions f:-->C so that for every {\zeta} in the boundary of unit disc D the limf(z) while z-->{\zeta} exists in C U {oo}. The class of the above functions is denoted by A(D)~. We study properties of the members of A(D)~, as well as, some topological properties of A(D)~ endowed with its natural metric topology. There are several open questions and new directions of investigation.
No associations
LandOfFree
An extension of the disc Algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An extension of the disc Algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An extension of the disc Algebra will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-518603