Oscillation Theory and Renormalized Oscillation Theory for Jacobi Operators

@inproceedings{Teschl1996OscillationTA,
  title={Oscillation Theory and Renormalized Oscillation Theory for Jacobi Operators},
  author={Gerald Teschl},
  year={1996}
}
We provide a comprehensive treatment of oscillation theory for Jacobi operators with separated boundary conditions. Our main results are as follows: If u solves the Jacobi equation (Hu)(n) = a(n)u(n + 1) + a(n − 1)u(n − 1) − b(n)u(n) = λu(n), λ ∈ R (in the weak sense) on an arbitrary interval and satisfies the boundary condition on the left or right, then… CONTINUE READING