Geodesic
On the Kreĭn-Langer integral representation of generalized Nevanlinna functions
The electronic journal of linear algebra, Tome 11 (2004), pp. 1-15.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The Kre*in-Langer integral representation of a matrix-valued generalized Nevanlinna function arises in problems of spectral theory and interpolation. A version of this formula which is suitable for such problems, and a corresponding Stieltjes inversion formula, are derived. Some classes of generalized Nevanlinna functions which are defined in terms of behavior at infinity are characterized in terms of their integral representations.
Classification : 47A56
Keywords: generalized Nevanlinna function, matrix-valued function, integral representation, Stieltjes inversion formula, negative squares 
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     author = {Rovnyak, J. and Sakhnovich, L. A.},
     title = {On the {Kre\u{i}n-Langer} integral representation of generalized {Nevanlinna} functions},
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Rovnyak, J.; Sakhnovich, L. A. On the Kreĭn-Langer integral representation of generalized Nevanlinna functions. The electronic journal of linear algebra, Tome 11 (2004), pp. 1-15. http://geodesic.mathdoc.fr/item/ELA_2004__11__a21/