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On the determination of a potential from three spectra

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.

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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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Simon, Barry0000-0003-2561-8539
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.
Funding AgencyGrant Number
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.
Record Number:CaltechAUTHORS:20170918-110240939
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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
Deposited By: Ruth Sustaita
Deposited On:19 Sep 2017 17:25
Last Modified:15 Nov 2021 19:44

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