95-375 Gesztesy F., Simon B., Teschl G.
Zeros of the Wronskian and Renormalized Oscillation Theory (62K, AMSTeX) Aug 9, 95
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Abstract. For general Sturm-Liouville operators with separated boundary conditions, we prove the following: If $E_{1,2}\in\Bbb R$ and if $u_{1,2}$ solve the differential equation $Hu_j=E_j u_j$, $j=1,2$ 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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