Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that if the functions $ F$ and $ G$ are defined in a neighborhood of the origin in the complex plane and are in a certain sense like $ {z^m}$ and $ {z^{ - n}}$ with $ \gcd (m,n) = 1$, then on sufficiently small closed disks $ D$ around 0 every continuous function on $ D$ can be uniformly approximated by polynomials in $ F$ and $ G$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 30E10, 46J10

Retrieve articles in all journals with MSC: 30E10, 46J10


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