On a Class of Functions Analytic in a Half Disk and an Associated Interpolation Problem

In this paper we introduce a class of functions analytic in a half disk and for which the Nevanlinna-Pick interpolation problem has a solution in terms of a linear fractional transformation. The method used to solve this problem is that of the fundamental matrix inequality, suitably adapted to the p...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 182; no. 1; pp. 1 - 22
Main Authors Alpay, D., Bolotnikov, V.
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 15.02.1994
Elsevier
Subjects
Exact sciences and technology
Mathematical analysis
Mathematics
Operator theory
Sciences and techniques of general use
Interpolation
Disk
Linear transformation
Analytical function
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Summary:In this paper we introduce a class of functions analytic in a half disk and for which the Nevanlinna-Pick interpolation problem has a solution in terms of a linear fractional transformation. The method used to solve this problem is that of the fundamental matrix inequality, suitably adapted to the present situation.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1994.1063