- 95-279 Simon B.
- Bounded eigenfunctions and absolutely continuous spectra for
one-dimensional Schr\"odinger operators
Jun 15, 95
(auto. generated ps),
of related papers
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.