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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on de Branges' weights


Authors: Arcadii Z. Grinshpan and Anatolii Grinshpan
Journal: Proc. Amer. Math. Soc. 133 (2005), 2605-2608
MSC (2000): Primary 30C50, 30C55, 30C75
Published electronically: March 31, 2005
MathSciNet review: 2146204
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Abstract: We discuss the de Branges weight systems and give a counterexample uncovering pitfalls.


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Additional Information

Arcadii Z. Grinshpan
Affiliation: Department of Mathematics, University of South Florida, Tampa, Florida 33620
Email: azg@math.usf.edu

Anatolii Grinshpan
Affiliation: Mathematics 253-37, California Institute of Technology, Pasadena, California 91125
Address at time of publication: Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078-1058
Email: agrinsh@math.okstate.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-05-07934-7
PII: S 0002-9939(05)07934-7
Keywords: Univalent functions, de Branges' weight systems, associated Legendre functions
Received by editor(s): January 6, 2004
Published electronically: March 31, 2005
Communicated by: Juha M. Heinonen
Article copyright: © Copyright 2005 American Mathematical Society