Geodesic
On Locally Definitizable Matrix Functions
Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 3, pp. 1-16

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We study analytic properties of special classes of matrix functions (locally definitizable and locally Nevanlinna functions) by methods of operator theory. The aim of this paper is to prove that if $G(\lambda)$ is a locally definitizable or locally generalized matrix Nevanlinna function, then $-(G(\lambda))^{-1}$ belongs to the same class.
Keywords: Krein space, meromorphic function, definitizable operator-function, Nevanlinna matrix-function, generalized resolvent. 
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     author = {T. Ya. Azizov and P. Jonas},
     title = {On {Locally} {Definitizable} {Matrix} {Functions}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2007_41_3_a0/}
}
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T. Ya. Azizov; P. Jonas. On Locally Definitizable Matrix Functions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 3, pp. 1-16. http://geodesic.mathdoc.fr/item/FAA_2007_41_3_a0/