On matrix‐valued Herglotz‐Nevanlinna functions with an emphasis on particular subclasses

DOI10.1002/mana.201100247zbMath1254.30034OpenAlexW2089364268MaRDI QIDQ4648241

Conrad Mädler, Bernd Fritzsche, Bernd Kirstein

Publication date: 8 November 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100247

zbMATH Keywords

integral representationsMoore-Penrose pseudoinversematrix-valued Herglotz-Nevanlinna functions

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60)

Related Items (11)

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Cites Work

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• Subclasses of Herglotz-Nevanlinna matrix-valued functions and linear systems
• Conservative realizations of Herglotz-Nevanlinna functions
• A general realization theorem for matrix-valued Herglotz--Nevanlinna functions
• On some subclasses of Nevanlinna functions
• The square-integrability of matrix-valued functions with respect to a non-negative Hermitian measure
• Smooth rank one perturbations of selfadjoint operators
• Nevanlinna Functions, Perturbation Formulas, and Triplets of Hilbert Spaces
• On Matrix-Valued Herglotz Functions
• Commutative and noncommutative representations of matrix-valued herglotz-nevanlinna functions

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