On the influence of the potential on the convergence rate of expansions in root functions of the Schrödinger operator

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)

Related Items (5)

Basicity properties of eigenfunctions of the periodic problem for differential operator Lu = −u″(−x) + q(x)u(x) ⋮ Estimates of the root functions of a one-dimensional Schrödinger operator with a strong boundary singularity ⋮ Spectral properties of a nonlocal problem for a second-order differential equation with an involution ⋮ Unnamed Item ⋮ Properties in L p of root functions for a nonlocal problem with involution

Cites Work

Dependence rate of equiconvergence on the module of continuity of potential of the Sturm--Liouville operator

This page was built for publication: On the influence of the potential on the convergence rate of expansions in root functions of the Schrödinger operator