Simon, B. and Stolz, G. (1996) Operators with singular continuous spectrum, V. Sparse potentials. Proceedings of the American Mathematical Society, 124 (7). pp. 2073-2080. ISSN 0002-9939. doi:10.1090/S0002-9939-96-03465-X. https://resolver.caltech.edu/CaltechAUTHORS:20180511-161415818
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Abstract
By presenting simple theorems for the absence of positive eigenvalues for certain one-dimensional Schrödinger operators, we are able to construct explicit potentials which yield purely singular continuous spectrum.
| Item Type: | Article | |||||||||
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| Additional Information: | © Copyright 1996 B. Simon and G. Stolz. Communicated by: Palle E. T. Jorgensen. Received by the editors January 9, 1995. his material is based upon work supported by the National Science Foundation under grant no. DMS-9101715. The government has certain rights to this material. | |||||||||
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| Issue or Number: | 7 | |||||||||
| Classification Code: | 1991 Mathematics Subject Classification. Primary 34L40, 34B24. | |||||||||
| DOI: | 10.1090/S0002-9939-96-03465-X | |||||||||
| Record Number: | CaltechAUTHORS:20180511-161415818 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180511-161415818 | |||||||||
| Official Citation: | Simon, B., & Stolz, G. (1996). Operators with Singular Continuous Spectrum, V. Sparse Potentials. Proceedings of the American Mathematical Society, 124(7), 2073-2080. | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 86381 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | George Porter | |||||||||
| Deposited On: | 14 May 2018 17:04 | |||||||||
| Last Modified: | 15 Nov 2021 20:38 |
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