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

D.Z. Arov; B. Fritzsche; B. Kirstein

doi:10.4171/zaa/589

JournalszaaVol. 11, No. 4pp. 489–508

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

D.Z. Arov
South-Ukrainian State Pedagogical University, Odessa, Ukraine
B. Fritzsche
Universität Leipzig, Germany
B. Kirstein
Universität Leipzig, Germany

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Abstract

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 $W = (_{* h}^{* f} 9$ .

Cite this article

D.Z. Arov, B. Fritzsche, B. Kirstein, On Some Completion Problems for Various Subclasses of $j_{pq}$ -inner Functions. Z. Anal. Anwend. 11 (1992), no. 4, pp. 489–508

DOI 10.4171/ZAA/589