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The bitangential inverse input impedance problem for canonical systems. I: Weyl-Titchmarsh classification, existence and uniqueness

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Publication:1417434
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DOI10.1007/s00020-003-1152-0zbMath1042.34025OpenAlexW2072740234MaRDI QIDQ1417434

Damir Z. Arov, Harry Dym

Publication date: 5 January 2004

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-003-1152-0


zbMATH Keywords

canonical systemsinverse problemsCR-structuresreproducing kernelsbitangential interpolationinput impedancesWeyl-Titchmarsh classification


Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Moment problems and interpolation problems in the complex plane (30E05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Inverse problems involving ordinary differential equations (34A55) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)


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Criteria for the strong regularity of \(J\)-inner functions and \(\gamma\)-generating matrices. ⋮ The bitangential inverse spectral problem for canonical systems ⋮ Two-Dimensional Hamiltonian Systems



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