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Completion problems forj pq-inner functions. I.
Authors:D Z Arov  B Fritzsche  B Kirstein
Institution:(1) Department of Mathematics, State Pedagogical Institute ldquoK.D. Ushinskiirdquo, 270 020 Odessa, Ukraine;(2) Fachbereich Mathematik und Informatik, Universität Leipzig, Augustusplatz 10, 0-7010 Leipzig, Germany
Abstract:This paper studies various completion problems for a subclass ofj pq-inner functions. Special attention is drawn to so-calledA-normalizedj pq-elementary factors of full-rank, which are closely related to the matricial Schur problem. Finally, as an application an inverse problem for Carathéodory sequences is answered.
Keywords:Primary 30E05
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