A Basic Interpolation Problem for Generalized Schur Functions and Coisometric Realizations

D Alpay,G Wanjala,T Ya Azizov,H Langer,A Dijksma

doi:10.1007/978-3-0348-8077-0_2

A Basic Interpolation Problem for Generalized Schur Functions and Coisometric Realizations

D Alpay, G Wanjala + Show 3 more

https://doi.org/10.1007/978-3-0348-8077-0_2

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Publication Date: Jan 1, 2003

Citations: 9

Affiliation: Ben-Gurion University of the Negev, University of Groningen, Voronezh State University

#Schur Functions #Generalized Schur Functions + Show 8 more

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Abstract

The basic interpolation problem for Schur functions is: Find all Schur functions s(z)for which s (0) has a given value. In this paper we consider the same basic interpolation problem but now for the class of generalized Schur functions with finitely many negative squares which are holomorphic at z = 0. In Section3 its solutions are given by three fractional linear transformations in which the main parameter runs through a subset of the class of generalized Schur functions.

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