Spectral asymptotics for canonical systems

DOI10.1515/crelle-2015-0034zbMath1403.35189arXiv1412.0277OpenAlexW2326329257WikidataQ57343543 ScholiaQ57343543MaRDI QIDQ1703674

Jonathan Eckhardt, Aleksey S. Kostenko, Gerald Teschl

Publication date: 7 March 2018

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0277

zbMATH Keywords

spectral asymptoticsradial Schrödinger operatorsKrein stringsradial Dirac operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (14)

The inverse spectral problem for indefinite strings ⋮ On the asymptotics of the spectral density of radial Dirac operators with divergent potential ⋮ Dispersion estimates for spherical Schrödinger equations ⋮ On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations ⋮ Limit behavior of Weyl coefficients ⋮ Minimizations of positive periodic and Dirichlet eigenvalues for general indefinite Sturm-Liouville problems ⋮ Continued fraction expansions of Herglotz–Nevanlinna functions and generalized indefinite strings of Stieltjes type ⋮ Unique solvability of a coupling problem for entire functions ⋮ On the class of canonical systems corresponding to matrix string equations: general-type and explicit fundamental solutions and Weyl-Titchmarsh theory ⋮ Jacobi matrices with lacunary spectrum ⋮ Reflectionless canonical systems. I: Arov gauge and right limits ⋮ Zero measure and singular continuous spectra for quantum graphs ⋮ On quasi-Herglotz functions in one variable ⋮ On spectral deformations and singular Weyl functions for one-dimensional Dirac operators

Uses Software

• DLMF

Cites Work

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