Jacobi Matrices and de Branges Spaces

DOI10.1007/978-3-0348-0667-1_9zbMath1336.47032OpenAlexW4248287232MaRDI QIDQ3462188

Roman Romanov

Publication date: 4 January 2016

Published in: Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0667-1_9

zbMATH Keywords

canonical systemsJacobi matricesde Branges spaces

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Discrete version of topics in analysis (39A12) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items

Spectral synthesis in Hilbert spaces of entire functions, De Branges functions of Schrödinger equations, The inverse spectral problem for indefinite strings, Scaling limits of Jacobi matrices and the Christoffel-Darboux kernel, The set of zeros of the Riemann zeta function as the point spectrum of an operator, Cauchy-de Branges spaces, geometry of their reproducing kernels and multiplication operators, Jacobi operators and orthonormal matrix-valued polynomials. I, Jacobi operators and orthonormal matrix-valued polynomials. II, Synthesizable differentiation-invariant subspaces, Point mass perturbations of spectral measures, Direct Cauchy theorem and Fourier integral in Widom domains, Jacobi matrices with lacunary spectrum, Spectral theory of rank one perturbations of normal compact operators

Cites Work

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• Some orthogonal polynomials related to elliptic functions