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14.—A Generalised Walsh-Lebesgue Theorem*
Published online by Cambridge University Press: 14 February 2012
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.
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- 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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