Differential operators admitting various rates of spectral projection growth

DOI10.1016/j.jfa.2016.12.007zbMathNonearXiv1309.3751OpenAlexW1837772366MaRDI QIDQ517088

Boris S. Mityagin, Petr Siegl, Joe Viola

Publication date: 16 March 2017

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

Full work available at URL: https://arxiv.org/abs/1309.3751

zbMATH Keywords

Riesz basisharmonic and anharmonic oscillatorsHermite functionsspectral projections

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (16)

Spectral properties of the complex Airy operator on the half-line ⋮ Root system of singular perturbations of the harmonic oscillator type operators ⋮ Generalized Riesz systems and orthonormal sequences in Krein spaces ⋮ Spectral expansions of non-self-adjoint generalized Laguerre semigroups ⋮ Concentration of eigenfunctions of Schrödinger operators ⋮ Completeness theorem for the system of eigenfunctions of the complex Schrödinger operator \(\mathscr{L}_{c , \alpha} = - d^2 / d x^2 + c x^\alpha \) ⋮ Spectral properties of the nonsectorial Sturm-Liouville operator on the semiaxis ⋮ Spectra of operator pencils with small 𝒫𝒯-symmetric periodic perturbation ⋮ Pseudo-modes for Schrödinger operators with complex potentials ⋮ The shifted harmonic oscillator and the hypoelliptic Laplacian on the circle ⋮ On \(J\)-frames related to maximal definite subspaces ⋮ A completeness theorem for the system of eigenfunctions of the complex Schrödinger operator with potential \(q(x)=cx^\alpha \) ⋮ Resolvent of the generator of the \(C_0\)-group with non-basis family of eigenvectors and sharpness of the XYZ theorem ⋮ Local form-subordination condition and Riesz basisness of root systems ⋮ Towards generalized Riesz systems theory ⋮ On dual definite subspaces in Krein space

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
• 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
• The spectrum of a harmonic oscillator operator perturbed by point interactions
• Hilbert space operators in quantum physics
• Classes of linear operators. Vol. I
• 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
• 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
• Wild Spectral Behaviour of Anharmonic Oscillators
• SPECTRAL ASYMPTOTICS OF THE NON-SELF-ADJOINT HARMONIC OSCILLATOR
• On the Solutions in L ² (−∞, ∞) of y ″ + (λ − q (x ))y = 0 when q is Rapidly Increasing
• ON THE ASYMPTOTIC DISTRIBUTION OF EIGENVALUES

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