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Computational Methods and Function Theory 2 (2002), No. 1, 113--135
Copyright Heldermann Verlag 2002

Semiduality of Small Sets of Analytic Functions

Jürgen Grahl
grahl@mathematik.uni-wuerzburg.de, Universität Würzburg, Mathematisches Institut, Am Hubland, 97074 Würzburg, Germany.

[Abstract-pdf] [Abstract-ps]
We give some applications of normality criteria to the question of semiduality of sets of analytic functions consisting of two elements.

Keywords: Semiduality, duality, gap power series, convolution, Hadamard product, Cartan's Theorem, normal families.

MSC 2000: 30B10, 30D45.

[FullText-pdf (272 K)] [FullText-ps (372 K)]