Analytic characterizations of Jordan chains by pole cancellation functions of higher order

DOI10.1016/j.jfa.2014.09.025zbMath1312.30052arXiv1309.3677OpenAlexW1897216281MaRDI QIDQ466255

Annemarie Luger, Muhamed Borogovac

Publication date: 24 October 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3677

zbMATH Keywords

Jordan chainPontryagin spacegeneralized Nevanlinna functionspole cancellation functionroot functionself adjoint operator

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Other functions defined by series and integrals (33E20) Linear operators on spaces with an indefinite metric (47B50) Miscellaneous topics of analysis in the complex plane (30E99)

Related Items (2)

Generalized Nevanlinna Functions: Operator Representations, Asymptotic Behavior ⋮ Jordan chains of elliptic partial differential operators and Dirichlet-to-Neumann maps

Cites Work

• A factorization of regular generalized Nevanlinna functions
• An analytic characterization of the eigenvalues of self-adjoint extensions
• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen
• Eigenvalues and Pole Functions of Hamiltonian Systems with Eigenvalue Depending Boundary Conditions
• Multiplicities of Nonsimple Zeros of Meromorphic Matrix Functions of the ClassNn×nx
• On the negative squares of a class of self‐adjoint extensions in Krein spaces
• A characterization of generalized poles of generalized Nevanlinna functions
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
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