On the Krein-Langer integral representation of generalized Nevanlinna functions

DOI10.13001/1081-3810.1117zbMath1059.47014OpenAlexW2114922418MaRDI QIDQ4450707

James Rovnyak, Lev A. Sakhnovich

Publication date: 15 February 2004

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/124392

zbMATH Keywords

matrix-valued functionnegative squaresgeneralized Nevanlinna functionStieltjes inversion formulaKreǐn-Langer integral representation

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Entire and meromorphic functions of one complex variable, and related topics (30D99)

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On realization of the Kreĭn-Langer class N_κ of matrix-valued functions in Pontryagin spaces ⋮ Arov-Krein entropy functionals and indefinite interpolation problems

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