Gesztesy, Fritz and Simon, Barry (1999) On the determination of a potential from three spectra. In: Differential Operators and Spectral Theory. Translations. Series 2, American mathematical society. No.189. American Mathematical Society , Province, pp. 85-92. ISBN 978-0-8218-1387-4. https://resolver.caltech.edu/CaltechAUTHORS:20170918-110240939
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Abstract
We prove that under suitable circumstances, the spectra of a Schrodinger operator on the three intervals [O, 1], [O, ɑ], and [ɑ, 1] for some ɑ є (0, 1) uniquely determine the potential q on [O, 1].
Item Type: | Book Section | |||||||||
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Additional Information: | © 1999 American Mathematical Society. The work of the first-named author was partially supported by the National Science Foundation under Grant No. DMS-9623121. | |||||||||
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Subject Keywords: | Inverse spectral theory, Schrodinger operators, Weyl-Titchmarsh m-functions | |||||||||
Series Name: | Translations. Series 2, American mathematical society | |||||||||
Issue or Number: | 189 | |||||||||
Classification Code: | 1991 Mathematics Subject Classification. Primary 34A55, 34B20; Secondary 34L05, 34L40. | |||||||||
DOI: | 10.1090/trans2/189 | |||||||||
Record Number: | CaltechAUTHORS:20170918-110240939 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170918-110240939 | |||||||||
Official Citation: | Fritz Gesztesy and Barry Simon – On the determination of a potential from three spectra pgs. 85-92, v.189 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 81526 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Ruth Sustaita | |||||||||
Deposited On: | 19 Sep 2017 17:25 | |||||||||
Last Modified: | 15 Nov 2021 19:44 |
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