The convergence of Fourier series in eigenfunctions of the Schrödinger operator with Kato potential

DOI10.1007/BF02676337zbMath1128.35314MaRDI QIDQ5942082

Valery Serov

Publication date: 28 August 2001

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

convergenceSchrödinger operatoreigenfunction expansiongeneralized Fourier series

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Series solutions to PDEs (35C10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

Convergence of spectral expansions related to elliptic operators with singular coefficients ⋮ Fundamental solution and Fourier series in eigenfunctions of degenerate elliptic operator ⋮ Green's function estimates for elliptic differential operators with singular coefficients and absolute convergence of Fourier series ⋮ Green's function and convergence of Fourier series for elliptic differential operators with potential from Kato space ⋮ A domain description and Green's function estimates up to the boundary for elliptic operator with singular potential ⋮ An \(n\)-dimensional Borg--Levinson theorem for singular potentials

Cites Work

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• On spectral expansions of functions from \(H_ p^ \alpha\) for a differential operator with a singularity at the surface
• Schrödinger operators with singular potentials

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