On the equiconvergence rate with the Fourier integral of the spectral expansion associated with the self-adjoint extension of the Sturm-Liouville operator with uniformly locally integrable potential

DOI10.1134/S0012266109040053zbMath1179.34099MaRDI QIDQ731516

I. V. Sadovnichaya

Publication date: 8 October 2009

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

Mathematics Subject Classification ID

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 (2)

Uniform, on the entire axis, convergence of the spectral expansion for Schrödinger operator with a potential-distribution ⋮ Equiconvergence of spectral decompositions of Hill operators

Cites Work

• A new estimate for the spectral function of the self-adjoint extension in \(L^{2}(\mathbb R)\) of the Sturm-Liouville operator with a uniformly locally integrable potential

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