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Characterization of the spectral density function for a one-sided tridiagonal Jacobi matrix operator

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  • In this paper we give a first order system of difference equations which provides a useful companion system in the study of Jacobi matrix operators and make use of it to obtain a characterization of the spectral density function for a simple case involving absolutely continuous spectrum on the stability intervals.
    Mathematics Subject Classification: Primary: 39A70, 39A23; Secondary: 47B36, 47B39, 47A75.

    Citation:

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