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More Approximation on Disks

Complex Variables 2007-05-23 v1

Abstract

In this paper we study the function algebra generated by z^2 and g^2 on a small closed disk centered at the origin of the complex plane. We prove, using a biholomorphic change of coordinates and already developed techniques in this area, that for a large class of functions g this algebra consists of all continuous functions on the disk.

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Cite

@article{arxiv.math/0512101,
  title  = {More Approximation on Disks},
  author = {Peter de Paepe and Jan Wiegerinck},
  journal= {arXiv preprint arXiv:math/0512101},
  year   = {2007}
}

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11 pages