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peaking

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

Peaking and interpolation by complex polynomials
Part of
- Geometric function theory
- Miscellaneous topics of analysis in the complex domain
Thomas H. MacGregor, Michael P. Sterner
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 64 / Issue 2 / May 2021

Published online by Cambridge University Press:

05 May 2021, pp. 129-138
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Classical results about peaking from complex interpolation theory are extended to polynomials on a closed disk, and on the complement of its interior. New results are obtained concerning interpolation by univalent polynomials on a Jordan domain whose boundary satisfies certain smoothness conditions.