06-170 Luis O. Silva
Uniform and Smooth Asymptotics of Solutions of Discrete Linear Systems and Spectral Properties of Jacobi Matrices (169K, DVI ) May 31, 06
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Abstract. Uniform and smooth asymptotics for the solutions of parametric systems of difference equations are obtained. These results are the uniform and smooth generalizations of Levinson type theorems for discrete linear systems. We obtain known and new results about the spectrum of a class Jacobi operators using the uniform and smooth asymptotics of their generalized eigenvectors. The techniques used here are applicable to other classes of operators.

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