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A simple proof for Schur's theorem

Author(s): R. A. Kortram
Journal: Proc. Amer. Math. Soc. 129 (2001), 3211-3212.
MSC (2000): Primary 30B10
Posted: May 21, 2001
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Abstract | References | Similar articles | Additional information

Abstract:

In 1917 Schur gave a characterization of bounded analytic functions on the unit disc. We present a simple proof.

References:

1.: J. Campschroer, Inverse coefficients and symmetrization of univalent functions. Doctoral dissertation. University of Nijmegen 1984.
2.: J.B. Garnett, Bounded Analytic Functions. Academic Press, 1981. MR 83g:30037
3.: I. Schur, Über Potenzreihen die im Innern des Einheitskreises beschränkt sind. J. Reine Angew. Math. 147 (1917), 205-232.


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