Spectral density in a Moszynski's class of Jacobi matrices

Abstract

In this paper it is considered a spectral density for a class of Jacobi matrices with absolutely continuous spectrum that was examined first by Moszynski. It is shown that the corresponding spectral density is equivalent to the positive continuous function everywhere except maybe the point $x=0$.

5 pages

References in corpus (2)

• Periodic perturbations of unbounded Jacobi matrices II: Formulas for density
• Jacobi matrices: continued fractions, approximation, spectrum