The Schur algorithm and coefficient characterizations for generalized Schur functions
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- by Tiberiu Constantinescu and Aurelian Gheondea PDF
- Proc. Amer. Math. Soc. 128 (2000), 2705-2713 Request permission
Abstract:
In this paper we analyze the existence of a Schur algorithm and obtain coefficient characterizations for the functions in a generalized Schur class. An application to an interpolation problem of Carathéodory type raised by M.G. Kreĭn and H. Langer is indicated.References
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Additional Information
- Tiberiu Constantinescu
- Affiliation: Department of Mathematics, University of Texas at Dallas, Richardson, Texas 75083-0688
- Email: tiberiu@utdallas.edu
- Aurelian Gheondea
- Affiliation: Institutul de Matematică al Academiei Române, CP 1-764, 70700 Bucureşti, România
- Email: gheondea@imar.ro
- Received by editor(s): March 30, 1998
- Received by editor(s) in revised form: October 29, 1998
- Published electronically: February 28, 2000
- Additional Notes: The second author’s research was partially supported by the Ministry of Research and Technology of Romania grant 4022GR/1998.
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2705-2713
- MSC (1991): Primary 30C50, 47B50, 30E05
- DOI: https://doi.org/10.1090/S0002-9939-00-05375-2
- MathSciNet review: 1670430