Characterization of the potential smoothness of one-dimensional Dirac operator subject to general boundary conditions and its Riesz basis property
DOI10.1016/j.jmaa.2016.09.068zbMath1361.34097arXiv1602.01290OpenAlexW2963406877MaRDI QIDQ335403
Publication date: 2 November 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.01290
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)
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Cites Work
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- A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions
- On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators
- Spectral analysis of a class of second-order non-self-adjoint differential operators
- Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators
- Gap estimates of the spectrum of the Zakharov-Shabat system
- Smoothness of Schrödinger operator potential in the case of Gevrey type asymptotics of the gaps.
- Spectral triangles of Schrödinger operators with complex potentials
- Spectral parametrization of non-selfadjoint Hill's operators
- Characterization of potential smoothness and the Riesz basis property of the Hill-Schrödinger operator in terms of periodic, antiperiodic and Neumann spectra
- Instability zones of a periodic 1D Dirac operator and smoothness of its potential
- Estimates for Periodic and Dirichlet Eigenvalues of the Schrödinger Operator
- Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
- A CHARACTERIZATION OF THE SPECTRUM OF HILL'S OPERATOR
- The inverse problem for periodic potentials
- Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions
- Instability zones of periodic 1-dimensional Schrödinger and Dirac operators
- Estimates on the Stability Intervals for Hill's Equation
- On the determination of a Hill's equation from its spectrum
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