Approximation of N κ ∞ -functions I: Models and Regularization

DOI10.1007/978-3-7643-8911-6_5zbMath1182.47037OpenAlexW16055343MaRDI QIDQ3613521

Annemarie Luger, Aalt Dijksma, Yuri Shondin

Publication date: 12 March 2009

Published in: Spectral Theory in Inner Product Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8911-6_5

zbMATH Keywords

self-adjoint operatorsymmetric operatormodellinear relationreproducing kernel spacerealisationgeneralised Nevanlinna functionPontrjagin space

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear relations (multivalued linear operators) (47A06) Linear operators on spaces with an indefinite metric (47B50) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (3)

Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints ⋮ On the singular Weyl-Titchmarsh function of perturbed spherical Schrödinger operators ⋮ An operator theoretic interpretation of the generalized Titchmarsh-Weyl coefficient for a singular Sturm-Liouville problem

Cites Work

• An operator theoretic interpretation of the generalized Titchmarsh-Weyl coefficient for a singular Sturm-Liouville problem
• Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
• Rank one perturbations at infinite coupling in Pontryagin spaces.
• Singular point-like perturbations of the Bessel operator in a Pontryagin space
• Approximations for strongly singular evolution equations
• Diskrete Konvergenz linearer Operatoren. I
• Titchmarsh-Weyl m -functions for second-order Sturm-Liouville problems with two singular endpoints
• 𝑅-functions—analytic functions mapping the upper halfplane into itself
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