A system coupling and Donoghue classes of Herglotz-Nevanlinna functions
DOI10.1007/s11785-016-0530-yzbMath1346.81039arXiv1506.06627OpenAlexW2962765854MaRDI QIDQ285503
Eduard Tsekanovskii, Sergey Belyi, Konstantin A. Makarov
Publication date: 19 May 2016
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.06627
transfer functionWeyl-Titchmarsh functionsymmetric operatorimpedance functiondissipative extensionDonoghue classHerglotz-Nevanlinna functionL-systemLivsic functionvon Neumann parameter
Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)
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Cites Work
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- Conservative realizations of Herglotz-Nevanlinna functions
- An addendum to Krein's formula
- Interpolation theory in sectorial Stieltjes classes and explicit system solutions
- On a class of linear operators in Hilbert space
- Conservative L-systems and the Liv\v{s}ic function
- THE THEORY OF BI-EXTENSIONS OF OPERATORS ON RIGGED HILBERT SPACES. UNBOUNDED OPERATOR COLLIGATIONS AND CHARACTERISTIC FUNCTIONS
- 𝑅-functions—analytic functions mapping the upper halfplane into itself
- On Matrix-Valued Herglotz Functions
- On the Addition and Multiplication Theorems
- On the Weyl-Titchmarsh and Liv\v{s}ic functions
- On the perturbation of spectra
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