Local form-subordination condition and Riesz basisness of root systems

DOI10.1007/s11854-019-0053-3zbMath1435.47022arXiv1608.00224OpenAlexW4300028833WikidataQ127119811 ScholiaQ127119811MaRDI QIDQ2299468

Petr Siegl, Boris S. Mityagin

Publication date: 21 February 2020

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00224

zbMATH Keywords

Riesz basisperturbationsroot systemone-dimensional Schrödinger operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (3)

Spectral properties of the complex Airy operator on the half-line ⋮ Concentration of eigenfunctions of Schrödinger operators ⋮ Pseudo-modes for Schrödinger operators with complex potentials

Cites Work

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• The spectrum of a harmonic oscillator operator perturbed by \(\delta\)-interactions
• Spectral instability for even non-selfadjoint anharmonic oscillators
• Eigensystem of an \(L ^{2}\)-perturbed harmonic oscillator is an unconditional basis
• Spectral projections of the complex cubic oscillator
• Differential operators admitting various rates of spectral projection growth
• On the basis property of root vectors of a perturbed self-adjoint operator
• Root system of a perturbation of a selfadjoint operator with discrete spectrum
• Spectral gaps of Schrödinger operators with periodic singular potentials
• The spectrum of a harmonic oscillator operator perturbed by point interactions
• Semi-classical states for non-self-adjoint Schrödinger operators
• Perturbation theory for linear operators.
• On series with respect to root vectors of operators associated with forms having symmetric principal part
• Spectral instability of some non-selfadjoint anharmonic oscillators
• Equiconvergence of spectral decompositions of Hill-Schrödinger operators
• Root system of singular perturbations of the harmonic oscillator type operators
• Convergence radii for eigenvalues of tri-diagonal matrices
• Eigenvalue Asymptotics of Perturbed Self-adjoint Operators
• Pseudospectra in non-Hermitian quantum mechanics
• Fourier method for one dimensional Schr\"odinger operators with singular periodic potentials
• Bari-Markus property for Riesz projections of Hill operators with singular potentials
• Wild Spectral Behaviour of Anharmonic Oscillators
• SPECTRAL ASYMPTOTICS OF THE NON-SELF-ADJOINT HARMONIC OSCILLATOR
• THE BETHE–SOMMERFELD CONJECTURE FOR THE 3-DIMENSIONAL PERIODIC LANDAU OPERATOR
• On the Solutions in L ² (−∞, ∞) of y ″ + (λ − q (x ))y = 0 when q is Rapidly Increasing

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