95-279 Simon B.

Bounded eigenfunctions and absolutely continuous spectra for one-dimensional Schr\"odinger operators (20K, AMSTeX) Jun 15, 95

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Abstract. \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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