Spectral Measures, Orthogonal Polynomials, and Absolute Continuity
J. Dombrowski · SIAM Journal on Mathematical Analysis · 1988
This paper studies the spectral measure of an unbounded tridiagonal matrix operator for which the matrix entries satisfy a certain growth condition, and presents a sufficient condition for the existence of an absolutely continuous part. The results are related to a class of orthogonal polynomials with exponential weights.