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Mat. Fiz. Anal. Geom., 1996, Volume 3, Number 3/4, Pages 412–422 (Mi jmag505)  

A remark to the definition of Nevanlinna matrices

Mikhail Sodin

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47, Lenin Ave., 310164, Kharkov, Ukraine

Abstract: We prove that the unimodular entire matrix-function
$$(
\begin{array}{cc}A(z)&B(z)
C(z)&D(z)\end{array}
)$$
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.

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Received: 03.04.1995
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Citation: Mikhail Sodin, “A remark to the definition of Nevanlinna matrices”, Mat. Fiz. Anal. Geom., 3:3/4 (1996), 412–422

Citation in format AMSBIB
\Bibitem{Sod96}
\by Mikhail~Sodin
\paper A remark to the definition of Nevanlinna matrices
\jour Mat. Fiz. Anal. Geom.
\yr 1996
\vol 3
\issue 3/4
\pages 412--422
\mathnet{http://mi.mathnet.ru/jmag505}


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