Equiconvergence of spectral decompositions of Hill operators

DOI10.1134/S1064562412040333zbMath1258.47052OpenAlexW2075448201MaRDI QIDQ1761075

Plamen Djakov, Boris S. Mityagin

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412040333

zbMATH Keywords

spectral decompositionHill operators

Mathematics Subject Classification ID

Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items

Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators

Cites Work

• Unnamed Item
• 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
• Spectral gaps of Schrödinger operators with periodic singular potentials
• Equiconvergence of eigenfunction expansions for Sturm-Liouville operators with a distributional potential
• Spectral gap asymptotics of one-dimensional Schrödinger operators with singular periodic potentials
• Instability zones of periodic 1-dimensional Schrödinger and Dirac operators