Below is the ascii version of the abstract for 03-6. The html version should be ready soon.

Stas Kupin
Spectral properties of Jacobi matrices and sum rules of special form
(3874K, PDF)

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'' 
Schr\"odinger operator.