Estimates of the root functions of a one-dimensional Schrödinger operator with a strong boundary singularity

DOI10.1134/S0012266118050014zbMath1397.34150OpenAlexW2806063777MaRDI QIDQ1660870

D. Yu. Borodinova, Leonid V. Kritskov

Publication date: 16 August 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118050014

zbMATH Keywords

complex-valued potential \(q(x)\) locally integrableLebesgue spaces \(L_p(G)\)norms of root functions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Cites Work

• Differential operators of even order with distribution coefficients
• On the influence of the potential on the convergence rate of expansions in root functions of the Schrödinger operator
• Sturm-Liouville operators with singular potentials
• Equiconvergence of expansions in eigenfunctions of Sturm-Liouville operators with distributional potentials in Hölder spaces
• Properties of spectral expansions corresponding to non-self-adjoint differential operators.
• Estimates of Speed of Convergence and Equiconvergence of Spectral Decomposition of Ordinary Differential Operators
• The local convergence of biorthogonal series related to differential operators with nonsmooth coefficients. I
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