On the nature of the de Branges Hamiltonian

DOI10.1007/s11253-007-0047-7zbMath1144.47309OpenAlexW2020806978MaRDI QIDQ5431007

Israel S. Kac

Publication date: 16 December 2007

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-007-0047-7

zbMATH Keywords

canonical differential equationde Branges' HamiltonianKrein-de Branges space

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (6)

Two-Dimensional Hamiltonian Systems ⋮ Applications of de Branges Spaces of Vector-Valued Functions ⋮ An inverse problem for a class of canonical systems having Hamiltonians of determinant one ⋮ An inverse problem for a class of canonical systems and its applications to self-reciprocal polynomials ⋮ Canonical systems with discrete spectrum ⋮ Quadratic operator pencils associated with the conservative Camassa-Holm flow

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