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Uniform Approximation on the Graph of a Smooth Map in Cn
Published online by Cambridge University Press: 20 November 2018
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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
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- Copyright © Canadian Mathematical Society 1980
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