Published June 1996
| Published
Journal Article
Open
Zeros of the Wronskian and Renormalized Oscillation Theory
- Creators
- Gesztesy, F.
- Simon, B.
- Teschl, G.
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.
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.Attached Files
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Additional details
- Eprint ID
- 81519
- Resolver ID
- CaltechAUTHORS:20170918-100353730
- DMS-9401491
- NSF
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2017-09-19Created from EPrint's datestamp field
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2023-10-17Created from EPrint's last_modified field