Published November 1996
| Version public
Journal Article
Bounded eigenfunctions and absolutely continuous spectra for one-dimensional Schrödinger operators
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.
Additional Information
© Copyright 1996 Barry Simon. Communicated by: Palle E. T. Jorgensen. Received by the editors April 3, 1995 and, in revised form, April 24, 1995. 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.Additional details
Identifiers
- Eprint ID
- 86383
- DOI
- 10.1090/S0002-9939-96-03599-X
- Resolver ID
- CaltechAUTHORS:20180511-162701951
Related works
- Describes
- 10.1090/S0002-9939-96-03599-X (DOI)
Funding
- NSF
- DMS-9401491
Dates
- Created
-
2018-05-14Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department , Physics Department