Uniform Approximation on Disks in Cn

  • John Wermer
Part of the Graduate Texts in Mathematics book series (GTM, volume 35)


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 of D under this map we call a disk in C n .


BANACH Algebra Uniform Approximation Closed Unit Disk Smooth Submanifolds Convex Disk 
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Copyright information

© Springer Science+Business Media New York 1976

Authors and Affiliations

  • John Wermer
    • 1
  1. 1.Department of MathematicsBrown UniversityProvidenceUSA

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