Spectral Measures, Orthogonal Polynomials, and Absolute Continuity

Joanne Dombrowski

doi:10.1137/0519065

Spectral Measures, Orthogonal Polynomials, and Absolute Continuity

Joanne Dombrowski

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	SIAM Journal on Mathematical Analysis
Volume	19
DOIs	https://doi.org/10.1137/0519065
State	Published - Jul 1 1988

Disciplines

Applied Mathematics
Applied Statistics
Mathematics
Physical Sciences and Mathematics
Statistics and Probability

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Cite this

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

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Spectral Measures, Orthogonal Polynomials, and Absolute Continuity

Abstract

Disciplines

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