Some indefinite cases of spectral problems for canonical systems of difference equations

DOI10.1016/S0024-3795(01)00428-1zbMath1001.39004MaRDI QIDQ1348096

Lev A. Sakhnovich, James Rovnyak

Publication date: 15 May 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

inverse problemindefinite inner productspectral theorysystems of difference equationsoperator identityJacobi system

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Additive difference equations (39A10) Difference operators (39A70) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (3)

Two-Dimensional Hamiltonian Systems ⋮ Discrete skew self-adjoint canonical system and the isotropic Heisenberg magnet model ⋮ Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators

Cites Work

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• Theory of nonlinear lattices
• Spectral theory of canonical differential systems. Method of operator identities
• Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen

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