scientific article
From MaRDI portal
Publication:2784964
zbMath0992.47021arXivmath/0109129MaRDI QIDQ2784964
Yaroslav Volodymyrovych Mykytyuk, Rostyslav O. Hryniv
Publication date: 24 April 2002
Full work available at URL: https://arxiv.org/abs/math/0109129
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Schrödinger operatorabsolutely continuous spectrumsingular potentialpure absolute continuityband structure of the spectrumpotential in the uniform resolvent senseselfadjoint semibounded operator
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05)
Related Items (21)
Uniform, on the entire axis, convergence of the spectral expansion for Schrödinger operator with a potential-distribution ⋮ Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm–Liouville operators ⋮ Spectral theory for Sturm–Liouville operators with measure potentials through Otelbaev’s function ⋮ Schrödinger operators with distributional matrix potentials ⋮ Reconstruction of energy-dependent Sturm-Liouville equations from two spectra ⋮ Classes of uniform convergence of spectral expansions for the one-dimensional Schrödinger operator with a distribution potential ⋮ Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability ⋮ Cantor and band spectra for periodic quantum graphs with magnetic fields ⋮ Spectra of Schrödinger operators on equilateral quantum graphs ⋮ Numerical reconstruction of the first band(s) in an inverse Hill’s problem ⋮ A remark on the discriminant of Hill's equation and Herglotz functions ⋮ Spectral triangles of non-selfadjoint Hill and Dirac operators ⋮ On the properties of maps connected with inverse Sturm-Liouville problems ⋮ On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces ⋮ Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators ⋮ 1-D Schrödinger operators with local point interactions on a discrete set ⋮ Inverse spectral problems for Sturm--Liouville operators in impedance form ⋮ Eigenvalue asymptotics for Sturm--Liouville operators with singular potentials ⋮ Unnamed Item ⋮ Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set ⋮ Riesz basis property of Hill operators with potentials in weighted spaces
This page was built for publication:
