ar X iv : 0 80 3 . 31 77 v 2 [ m at h . SP ] 1 5 M ay 2 00 8 LOCAL SPECTRAL PROPERTIES OF REFLECTIONLESS JACOBI , CMV , AND SCHRÖDINGER OPERATORS
نویسنده
چکیده
We prove that Jacobi, CMV, and Schrödinger operators, which are reflectionless on a homogeneous set E (in the sense of Carleson), under the assumption of a Blaschke-type condition on their discrete spectra accumulating at E, have purely absolutely continuous spectrum on E.
منابع مشابه
Local Spectral Properties of Reflectionless Jacobi, Cmv, and Schrödinger Operators
We prove that Jacobi, CMV, and Schrödinger operators, which are reflectionless on a homogeneous set E (in the sense of Carleson), under the assumption of a Blaschke-type condition on their discrete spectra accumulating at E, have purely absolutely continuous spectrum on E.
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