Published April 1, 2011
| Submitted
Journal Article
Open
Natural boundaries and spectral theory
- Creators
- Breuer, Jonathan
-
Simon, Barry
Abstract
We present and exploit an analogy between lack of absolutely continuous spectrum for Schrödinger operators and natural boundaries for power series. Among our new results are generalizations of Hecke's example and natural boundary examples for random power series where independence is not assumed.
Additional Information
© 2011 Elsevier Inc. Received 9 August 2010; accepted 21 December 2010. Available online 30 December 2010. Communicated by Charles Fefferman. Supported in part by NSF grant DMS-0652919. We would like to thank Shmuel Agmon, John Garnett, Jean-Pierre Kahane, Rowan Killip, and Genadi Levin for useful discussions.Attached Files
Submitted - p328.pdf
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p328.pdf
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Additional details
- Eprint ID
- 23128
- Resolver ID
- CaltechAUTHORS:20110328-100710731
- NSF
- DMS-0652919
- Created
-
2011-03-29Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field