A Schur Transformation for Functions in a General Class of Domains

Authors

Daniel Alpay, Chapman UniversityFollow
Aad Dijksma, University of Groningen
Heinz Langer, Vienna University of Technology
Dan Volok, Kansas State University

Document Type

Article

Publication Date

2012

Abstract

In this paper we present a framework in which the Schur transformation and the basic interpolation problem for generalized Schur functions, generalized Nevanlinna functions and the like can be studied in a unified way. The basic object is a general class of functions for which a certain kernel has a finite number of negative squares. The results are based on and generalize those in previous papers of the first three authors on the Schur transformation in an indefinite setting.

Comments

This article was originally published in Indagationes Mathematicae, volume 4, in 2012. DOI: 10.1016/j.indag.2012.08.002

Recommended Citation

D. Alpay, A. Dijksma, H. Langer and D. Volok. A Schur transformation for functions in a general class of domains. Indagationes Mathematicae. (N.S) (2012), no. 4, pp. 921-969.

Peer Reviewed

1

Copyright

Elsevier