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Zeitschrift für Analysis und ihre Anwendungen


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Volume 11, Issue 4, 1992, pp. 489–508
DOI: 10.4171/ZAA/589

Published online: 1992-12-31

On Some Completion Problems for Various Subclasses of $j_{pq}$-inner Functions

D.Z. Arov[1], B. Fritzsche[2] and B. Kirstein[3]

(1) South-Ukrainian State Pedagogical University, Odessa, Ukraine
(2) Universität Leipzig, Germany
(3) Universität Leipzig, Germany

Several completion problems of the following type will be studied: Given meromorphic matrix-valued functions $f$ and $h$, the question is to describe the set of all $j_{pq}$-inner functions $W$ which have the block structure $W = (^{*f}_{*h}9$.

Keywords: $j_{pq}$-inner functions, A-singular $j_{pq}$-inner functions, $j_{pq}$-elementary factors, pseudocontinuation

Arov D.Z., Fritzsche B., Kirstein B.: On Some Completion Problems for Various Subclasses of $j_{pq}$-inner Functions. Z. Anal. Anwend. 11 (1992), 489-508. doi: 10.4171/ZAA/589