Stability of the absolutely continuous spectrum of the Schrödinger equation under slowly decaying perturbations and a. e. convergence of integral operators

DOI10.1215/S0012-7094-98-09425-XzbMath0944.34072MaRDI QIDQ1974856

Alexander Kiselev

Publication date: 27 March 2000

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

zbMATH Keywords

stabilitycontinuous spectrumSchrödinger operatorintegral operatorsabsolutely continuous spectrumslowly decaying potentialsdecaying perturbation stability of the spectrum

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Maximal functions, Littlewood-Paley theory (42B25) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Integral operators (47G10)

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Cites Work

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