Extensions, dilations, and spectral problems of singular Hamiltonian systems

DOI10.1002/mma.4703zbMath1499.37106OpenAlexW2772219382MaRDI QIDQ4643970

Bilender P. Allahverdiev

Publication date: 30 May 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4703

zbMATH Keywords

singular Hamiltonian systemcharacteristic functioncompletenessscattering matrixsymmetric operatorfunctional modelself-adjoint dilationmaximal dissipative operatorsystem of root vectors

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (3)

Unnamed Item ⋮ Extensions of a minimal third-order formally symmetric operator ⋮ Coordinate-Free Approach for the Characteristic Function of a Fourth-Order Dissipative Operator

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