- 03-6 Stas Kupin
- Spectral properties of Jacobi matrices and sum rules of special form
Jan 8, 03
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Abstract. In this article, we relate the properties of elements of a Jacobi
matrix from certain class to the properties of its spectral measure.
The main tools we use are the so-called sum rules originally
suggested by Case.
As a corollary of the main theorem, we obtain a direct counterpart
of a result by Molchanov-Novitskii-Vainberg for ``continuous''