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On a boundary analogue of the Carathéodory-Schur interpolation problem

Author: Vladimir Bolotnikov
Journal: Proc. Amer. Math. Soc. 136 (2008), 3121-3131
MSC (2000): Primary 47A57
Published electronically: April 22, 2008
MathSciNet review: 2407075
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Abstract: Characterization of Schur functions in terms of their Taylor coefficients is due to C. Carathéodory and I. Schur. We discuss the boundary analogue of this problem.

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Additional Information

Vladimir Bolotnikov
Affiliation: Department of Mathematics, College of William and Mary, Williamsburg, Virginia 23187-8795

Keywords: Schur functions, boundary interpolation problem.
Received by editor(s): December 27, 2005
Received by editor(s) in revised form: December 29, 2006
Published electronically: April 22, 2008
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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