Gesztesy, F. and Simon, B. and Teschl, G. (1996) Zeros of the Wronskian and Renormalized Oscillation Theory. American Journal of Mathematics, 118 (3). pp. 571-594. ISSN 0002-9327. doi:10.1353/ajm.1996.0024. https://resolver.caltech.edu/CaltechAUTHORS:20170918-100353730
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Abstract
For general Sturm-Liouville operators with separated boundary conditions, we prove the following: If E_(1,2) ∈ R and if u_(1,2) solve the differential equation Hu_j = E_ju_j, j = 1, 2 and respectively satisfy the boundary condition on the left/right, then the dimension of the spectral projection P(E_1,E_2)(H) of H equals the number of zeros of the Wronskian of u_1 and u_2.
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| Additional Information: | © 1995 Johns Hopkins University Press. Manuscript received May 3, 1995; revised August 16, 1995. Research supported in part by NSF Grant DMS-9401491. | |||||||||
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| Issue or Number: | 3 | |||||||||
| DOI: | 10.1353/ajm.1996.0024 | |||||||||
| Record Number: | CaltechAUTHORS:20170918-100353730 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170918-100353730 | |||||||||
| Official Citation: | Zeros of the Wronskian and renormalized oscillation theory pp. 571-594 | DOI: 10.1353/ajm.1996.0024 F. Gesztesy, B. Simon, G. Teschl | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 81519 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 19 Sep 2017 17:28 | |||||||||
| Last Modified: | 15 Nov 2021 19:44 |
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