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Uniform Approximation on the Graph of a Smooth Map in Cn

Published online by Cambridge University Press:  20 November 2018

Barnet M. Weinstock
Barnet M. Weinstock*
Affiliation:
University of North Carolina at Charlotte, Charlotte, North Carolina
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Let X be a compact set in Cn, and let ƒ1, …, ƒm, m ≧ n, be continuous, complex-valued functions on X which have C1 extensions to some neighborhood of X. We wish to describe the algebra A of continuous complex-valued functions on X which can be approximated uniformly by polynomials in the functions z1 …, zn, ƒ1 …, ƒm. For this purpose we introduce the sets

and

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 32 , Issue 6 , 01 December 1980 , pp. 1390 - 1396
Copyright
Copyright © Canadian Mathematical Society 1980

References

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