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Spectral density in a Moszynski's class of Jacobi matrices

Published 24 Dec 2019 in math.SP and math.CA | (1912.11439v1)

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 $x=0$.

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