- 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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