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14.—A Generalised Walsh-Lebesgue Theorem*

Published online by Cambridge University Press:  14 February 2012

A. G. O'Farrell
A. G. O'Farrell
Affiliation:
University of California, Los Angeles
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Synopsis

Let X be the boundary of a compact set which does not separate the plane, C. Let Φ and Ψ be homeomorphisms of C to C with opposite orientations. Then every continuous complex-valued function on X is the uniform limit on X of sums p(Φ)+q(ψ), where p and q are analytic polynomials.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 73 , 1975 , pp. 231 - 234
Copyright
Copyright © Royal Society of Edinburgh 1975

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References

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