On crossroads of spectral theory with Sergey Naboko

DOI10.1007/978-3-031-31139-0_4MaRDI QIDQ6630021

Pavel Kurasov

Publication date: 30 October 2024

zbMATH Keywords

embedded eigenvaluesmetric graphsWigner-von Neumann potentialsHain-Lüst operator

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Schrödinger operator, Schrödinger equation (35J10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Meromorphic functions of one complex variable (general theory) (30D30) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators on spaces with an indefinite metric (47B50) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Elliptic operators and their generalizations (47F10) Nonselfadjoint operators (47B28)

Cites Work

• Title not available (Why is that?)
• Rayleigh estimates for differential operators on graphs
• Dense point spectra of Schrödinger and Dirac operators
• Über merkwürdige diskrete Eigenwerte.
• Extremal properties of eigenvalues for a metric graph.
• On the essential spectrum of a class of singular matrix differential operators. I: Quasiregularity conditions and essential self-adjointness
• Essential spectrum of a system of singular differential operators and the asymptotic Hain-Lüst operator
• Weyl-Titchmarsh-type formula for periodic Schrödinger operator with Wigner-von Neumann potential
• ON THE ABSOLUTELY CONTINUOUS SPECTRUM IN A MODEL OF AN IRREVERSIBLE QUANTUM GRAPH
• Wigner–von Neumann perturbations of a periodic potential: spectral singularities in bands
• Systems of Singular Differential Operators of Mixed Order and Applications to 1 - Dimensional MHD Problems
• Gluing graphs and the spectral gap: a Titchmarsh–Weyl matrix-valued function approach
• Surgery principles for the spectral analysis of quantum graphs
• Spectral gap for quantum graphs and their edge connectivity
• Essential Spectrum Due to Singularity
• On the essential spectrum of a class of singular matrix differential operators. II. Weyl's limit circles for the Hain–Lüst operator whenever quasi-regularity conditions are not satisfied
• Some Schrödinger operators with dense point spectrum

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