Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (1996) no. 3, pp. 412-422
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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/
@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/}
}
TY - JOUR
AU - Mikhail Sodin
TI - A remark to the definition of Nevanlinna matrices
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1996
SP - 412
EP - 422
VL - 3
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_1996_3_3_a12/
LA - en
ID - JMAG_1996_3_3_a12
ER -
%0 Journal Article
%A Mikhail Sodin
%T A remark to the definition of Nevanlinna matrices
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1996
%P 412-422
%V 3
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_1996_3_3_a12/
%G en
%F JMAG_1996_3_3_a12
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.
