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math.CA2016★ 22 cited
Periodic perturbations of unbounded Jacobi matrices II: Formulas for density
Grzegorz Świderski
We give formulas for the density of the measure of orthogonality for orthonormal polynomials with unbounded recurrence coefficients. The formulas involve limits of appropriately sc…
math.SP2016★ 16 cited
Periodic perturbations of unbounded Jacobi matrices I: Asymptotics of generalized eigenvectors
Grzegorz Świderski, Bartosz Trojan
We study asymptotics of generalized eigenvectors associated with Jacobi matrices. Under weak conditions on the coefficients we identify when the matrices are self-adjoint and show…