A trace formula for canonical differential expressions.

DOI10.1016/S0022-1236(02)00083-6zbMath1043.34024OpenAlexW2067370035MaRDI QIDQ1869059

Daniel Alpay, Israel Gohberg

Publication date: 9 April 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-1236(02)00083-6

zbMATH Keywords

trace formulacanonical differential expression

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) 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 (4)

Generalized \(Q\)-functions and Dirichlet-to-Neumann maps for elliptic differential operators ⋮ Pairs of selfadjoint operators and their invariants ⋮ Carathéodory functions in the Banach space setting ⋮ Realizations of slice hyperholomorphic generalized contractive and positive functions

Cites Work

• Hilbert spaces of analytic functions, inverse scattering and operator models. I
• Hilbert spaces of analytic functions, inverse scattering and operator models. II
• Perturbation theory
• Pseudo-canonical systems with rational Weyl functions: Explicit formulas and applications
• Topics in differential and integral equations and operator theory. Ed. by I. Gohberg. Transl. from the Russian by A. Iacob
• Inverse spectral problem for differential operators with rational scattering matrix functions
• A relationship between the Nehari and the Carathéodory-Toeplitz extension problems
• Canonical Systems with Rational Spectral Densities: Explicit Formulas and Applications
• Perturbations of Self-Adjoint Transformation
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Theory of Reproducing Kernels
• Perturbations of unitary transformations
• Bound states of a canonical system with a pseudo-exponential potential
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