Published February 20, 2003
| Submitted
Journal Article
Open
Stability of singular spectral types under decaying perturbations
- Creators
- Kiselev, Alexander
- Last, Yoram
-
Simon, Barry
Abstract
We look at invariance of a.e. boundary condition spectral behavior under perturbations, W, of half-line, continuum or discrete Schrödinger operators. We extend the results of del Rio, Simon, Stolz from compactly supported W's to suitable short-range W. We also discuss invariance of the local Hausdorff dimension of spectral measures under such perturbations.
Additional Information
© 2002 Elsevier Science. Received 15 October 2001, Revised 27 June 2002, Accepted 3 July 2002, Available online 7 January 2003. Supported in part by NSF Grant DMS-0102554 and by an Alfred P. Sloan fellowship. Supported in part by The Israel Science Foundation Grant 447/99 and by an Allon fellowship. Supported in part by NSF Grant DMS-9707661.Attached Files
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Additional details
- Eprint ID
- 77350
- Resolver ID
- CaltechAUTHORS:20170510-134955944
- DMS-0102554
- NSF
- Alfred P. Sloan Foundation
- 447/99
- Israel Science Foundation
- Council for Higher Education (Israel)
- DMS-9707661
- NSF
- Created
-
2017-05-16Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field