A remark to the definition of Nevanlinna matrices
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (1996) no. 3, pp. 412-422
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We prove that the unimodular entire matrix-function $$\left(\begin{array}{cc}A(z)&B(z)\\C(z)&D(z)\end{array}\right)$$ with real entries is a Nevanlinna matrix provided that the three quotients $B/A$, $A/C$, and $D/C$ have positive imaginary part in the upper half-plane.
@article{JMAG_1996_3_3_a12,
author = {Mikhail Sodin},
title = {A remark to the definition of {Nevanlinna} matrices},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {412--422},
year = {1996},
volume = {3},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_1996_3_3_a12/}
}
Mikhail Sodin. A remark to the definition of Nevanlinna matrices. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (1996) no. 3, pp. 412-422. http://geodesic.mathdoc.fr/item/JMAG_1996_3_3_a12/