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Pointwise convergence and holomorphy. (Punktweise Konvergenz und Holomorphie.) (German) Zbl 0804.30003

Konstruktion einer Folge in einem Gebiet holomorpher Funktionen, die dort punktweise gegen eine unstetige Grenzfunktion konvergiert.
Reviewer: H.Tietz (Hannover)

MSC:

30B99 Series expansions of functions of one complex variable
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References:

[1] D. Gaier: Vorlesungen über Approximation im KomplexenBasel, Boston, Stuttgart: Birkhäuser1980 · Zbl 0442.30038
[2] R. Remmert: Funktionentheorie I. 3. Aufl. Berlin, Heidelberg, New York: Springer 1992
[3] G. Schmieder: Grundkurs Funktionentheorie. Leipzig: Teubner 1993
[4] J.L. Walsh: Interpolation and approximation by rational functions in the complex domain. Amer. Math. Soc. Colloquium Publications Vol. XX (5. ed.) 1969
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