On a Subclass of Approximable Functions on Closed Subsets
Let E be a closed non-Arakelian set and let A ( E ) be the class of all functions which are continuous on E and analytic in E °. The paper is devoted to the investigation of the functions belonging to A ( E ), which can be extended as functions of class A ( F ) for an Arakelian set F containing E .
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| Veröffentlicht in: | Computational methods and function theory 2011-01, Vol.11 (1), p.123-133 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let
E
be a closed non-Arakelian set and let
A
(
E
) be the class of all functions which are continuous on
E
and analytic in
E
°. The paper is devoted to the investigation of the functions belonging to
A
(
E
), which can be extended as functions of class
A
(
F
) for an Arakelian set
F
containing
E
. |
|---|---|
| ISSN: | 1617-9447 2195-3724 |
| DOI: | 10.1007/BF03321792 |