Carathéodory - Fejér problem for pairs of meromorphic functions

D. Alpay, V. Bolotnikov

Research output: Contribution to journalArticlepeer-review


We continue our study of families of pairs of matrix - valued meromorphic functions P(ρ, P) depending on two parameters ρ and P introduced in [2]. These include as special cases the projective Schur, Nevanlinna and Carathéodory classes. A two sided Carathéodory - Fejér interpolation problem is defined and solved in P(ρ, P), using the fundamental matrix inequality method. A corresponding Schur algorithm is studied. Finally we also consider the case of functions (as opposed to pairs).

Original languageEnglish
Pages (from-to)17-69
Number of pages53
JournalMathematische Nachrichten
StatePublished - 1 Jan 1999

ASJC Scopus subject areas

  • General Mathematics


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