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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
MathSciNet review:
1844995
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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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Additional Information:
R.
A.
Kortram
Affiliation:
Department of Mathematics, University of Nijmegen, 6525 ED Nijmegen, The Netherlands
Email:
kortram@sci.kun.nl
DOI:
10.1090/S0002-9939-01-06199-8
PII:
S 0002-9939(01)06199-8
Received by editor(s):
February 15, 2000
Posted:
May 21, 2001
Communicated by:
Juha M. Heinonen
Copyright of article:
Copyright
2001,
American Mathematical Society
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