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arxiv: math/0512101 · v1 · submitted 2005-12-05 · 🧮 math.CV

More Approximation on Disks

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keywords algebradiskfunctionsalreadyapproximationareabiholomorphiccentered
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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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