1996/06/01 by Fritz Gesztesy, Barry Simon, Gerald Teschl · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Calculus (dental) #Mathematics #Matrix Theory and Algorithms #Oscillation (cell signaling) #Pure mathematics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #Wronskian
paper · doi:10.1353/ajm.1996.0024
openalex publication_date 1996/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 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 .