Approximation on disks
Author:
P. J. de Paepe
Journal:
Proc. Amer. Math. Soc. 97 (1986), 299-302
MSC:
Primary 30E10; Secondary 46J10
DOI:
https://doi.org/10.1090/S0002-9939-1986-0835885-0
MathSciNet review:
835885
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Abstract | References | Similar Articles | Additional Information
Abstract: It is shown that if the functions and
are defined in a neighborhood of the origin in the complex plane and are in a certain sense like
and
with
, then on sufficiently small closed disks
around 0 every continuous function on
can be uniformly approximated by polynomials in
and
.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1986-0835885-0
Keywords:
Function algebra,
Stone-Weierstrass theorem,
uniform approximation in the complex plane
Article copyright:
© Copyright 1986
American Mathematical Society