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Article
Spectral Measures, Orthogonal Polynomials, and Absolute Continuity
SIAM Journal on Mathematical Analysis
Document Type
Article
Publication Date
7-1-1988
Disciplines
Abstract
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
Citation Information
Joanne Dombrowski. "Spectral Measures, Orthogonal Polynomials, and Absolute Continuity" SIAM Journal on Mathematical Analysis Vol. 19 Iss. 4 (1988) p. 939 - 943 ISSN: 0036-1410 Available at: http://works.bepress.com/joanne_dombrowski/4/