Classes of pairs of meromorphic matrix valued functions generated by nonnegative kernels and associated Nevanlinna-Pick problems

D. Alpay, V. Bolotnikov

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Families of pairs of matrix-valued meromorphic functions {Mathematical expression}(ρ,P) depending on two parameters ρ{variant} and P are introduced. They are the projective analogues of classes of functions studied in [1] and include as special cases the projective Schur, Nevanlinna and Carathéodory classes. A two sided Nevanlinna-Pick interpolation problem is defined and solved in {Mathematical expression}(ρ,P), using the fundamental matrix inequality method.

Original languageEnglish
Pages (from-to)245-267
Number of pages23
JournalIntegral Equations and Operator Theory
Volume23
Issue number3
DOIs
StatePublished - 1 Sep 1995

Keywords

  • MSC: 30E05, 47A57

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