Duals and dual hulls of classes of analytic functions

Details Duals and dual hulls of classes of analytic functions Duals and dual hulls of classes of analytic functions

1998-10-09

arxiv.org/abs/math/9810061v1

Mathematics

Complex Variables

10 pages, LaTeX 2.09, to appear in Izvestiya vuzov. Matematika, English translation in Russian Mathematics, Izv. vuzov

Scientific paper

In the paper new representations are obtained for duals and dual hulls of the
classes of analytic functions. The Ruscheweyh duality principle is shown to
hold under somewhat weaker assumptions. For a compact class of functions its
subclass is constructed having the same dual as the original one.

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