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Zeros of the Wronskian and renormalized oscillation theory
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 118, Number 3, June 1996
- pp. 571-594
- 10.1353/ajm.1996.0024
- Article
- Additional Information
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For general Sturm-Liouville operators with separated boundary conditions, we prove the following: If E1,2 ∈ R and if u1,2 solve the differential equation Huj = Ejuj, j = 1, 2 and respectively satisfy the boundary condition on the left/right, then the dimension of the spectral projection P(E1,E2)(H) of H equals the number of zeros of the Wronskian of u1 and u2.