Spectral Measures, Orthogonal Polynomials, and Absolute Continuity

Joanne Dombrowski
1988 SIAM Journal on Mathematical Analysis  
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.
doi:10.1137/0519065 fatcat:jzpbbsfioffajinnxrkjencnie