On the coexistence of absolutely continuous and singular continuous components of the spectral measure for some Sturm--Liouville operators with square summable potential

DOI10.1016/S0022-0396(02)00145-6zbMath1032.34079OpenAlexW2044101235MaRDI QIDQ1874499

Sergey A. Denisov

Publication date: 25 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00145-6

zbMATH Keywords

Sturm-Liouville operatorWiener-Hopf equationsingular continuous spectrum

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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Cites Work

• On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials
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• Spectral theory of a class of canonical differential systems
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• Linear and Nonlinear Inverse Scattering
• Imbedded singular continuous spectrum for Schrödinger operators
• First KdV integrals and absolutely continuous spectrum for 1-D Schrödinger operator
• On the application of some of M. G. Krein's results to the spectral analysis of Sturm-Liouville operators
• To the spectral theory of Krein systems
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