A Remark on Two Extensions of the Disc Algebra and Mergelyan's Theorem
Nestoridis, V. · Papadoperakis, I.
الأصل · EN
We investigate the set of uniform limits of polynomials on any closed Jordan domain with respect to the chordal metric χ on C∪{∞ }. We conclude that Mergelyan's Theorem may be extended to the case of uniform approximation with respect to χ on closed Jordan domains. Similar results are obtained if we replace the one point compactification C∪{∞} of C by another compactification of C homeomorphic to the closed unit disc.
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