q-rational Functions and Interpolation with Complete Nevanlinna–Pick Kernels

Authors

Daniel Alpay, Chapman UniversityFollow
Paula Cerejeiras, University of Aveiro
Uwe Kaehler, University of Aveiro
Baruch Schneider, University of Ostrava

Document Type

Article

Publication Date

9-14-2024

Abstract

In this paper we introduce the concept of matrix-valued q-rational functions. In comparison to the classical case, we give different characterizations with principal emphasis on realizations and discuss algebraic manipulations. We also study the concept of Schur multipliers and complete Nevanlinna–Pick kernels in the context of q-deformed reproducing kernel Hilbert spaces and provide first applications in terms of an interpolation problem using Schur multipliers and complete Nevanlinna–Pick kernels.

Comments

This article was originally published in Integral Equations and Operator Theory, volume 27, in 2024. https://doi.org/10.1007/s00020-024-02779-2

Recommended Citation

Alpay, D., Cerejeiras, P., Kaehler, U. et al. q-rational Functions and Interpolation with Complete Nevanlinna–Pick Kernels. Integr. Equ. Oper. Theory 96, 27 (2024). https://doi.org/10.1007/s00020-024-02779-2

Peer Reviewed

1

Copyright

The authors

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