UNIVERSAL LAURENT SERIES

UNIVERSAL LAURENT SERIES

Universal Taylor series are defined on simply connected domains, but they do not exist on an annulus. Instead we introduce universal Laurent or Laurent–Faber series on finitely connected domains in $\mathbb{C}$. These are generic universalities. Furthermore, we study some properties of universal Lau...

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Veröffentlicht in:Proceedings of the Edinburgh Mathematical Society 2005-10, Vol.48 (3), p.571-583
Hauptverfasser: Costakis, G., Nestoridis, V., Papadoperakis, I.
Format: Artikel
Sprache:eng
Schlagworte:
30B41
Faber series
generic property
Laurent series
Primary 30B30
universal series
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Beschreibung
Zusammenfassung:Universal Taylor series are defined on simply connected domains, but they do not exist on an annulus. Instead we introduce universal Laurent or Laurent–Faber series on finitely connected domains in $\mathbb{C}$. These are generic universalities. Furthermore, we study some properties of universal Laurent series on an annulus.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091504000495