On the index of meromorphic operator-valued functions and some applications

zbMath1441.47012arXiv1512.06962MaRDI QIDQ5355527

Helge Holden, Jussi Behrndt, Roger A. Nichols, Friedrich Gesztesy

Publication date: 7 September 2017

Full work available at URL: https://arxiv.org/abs/1512.06962

zbMATH Keywords

multiplicity of eigenvaluesdual pairsBirman-Schwinger operatorsfactorization of operator-valued analytic functionsindex computations for finitely meromorphic operator-valued functions

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) (Semi-) Fredholm operators; index theories (47A53)

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Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh \(M\)-functions, and a generalized index of unbounded meromorphic operator-valued functions ⋮ Interaction problems on periodic hypersurfaces for Dirac operators on \(\mathbb{R}^n \) ⋮ The generalized Birman–Schwinger principle

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