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Bounded eigenfunctions and absolutely continuous spectra for one-dimensional Schrödinger operators
Author(s):
Barry
Simon
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3361-3369.
MSC (1991):
Primary 34L40
MathSciNet review:
1350963
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Abstract:
We provide a short proof of that case of the Gilbert-Pearson theorem that is most often used: That all eigenfunctions bounded implies purely a.c. spectrum. Two appendices illuminate Weidmann's result that potentials of bounded variation have strictly a.c. spectrum on a half-axis.
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Additional Information:
Barry
Simon
Affiliation:
Division of Physics, Mathematics, and Astronomy, California Institute of Technology, 253-37, Pasadena, California 91125
Email:
bsimon@caltech.edu
DOI:
10.1090/S0002-9939-96-03599-X
PII:
S 0002-9939(96)03599-X
Received by editor(s):
April 3, 1995
Received by editor(s) in revised form:
April 24, 1995
Additional Notes:
This material is based upon work supported by the National Science Foundation under Grant No. DMS-9401491. The Government has certain rights in this material.
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
Barry Simon
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