Spectral Measures, Orthogonal Polynomials, and Absolute Continuity

Joanne Dombrowski

doi:10.1137/0519065

Spectral Measures, Orthogonal Polynomials, and Absolute Continuity

Joanne Dombrowski

Wright State University

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

Access to Document

10.1137/0519065License: Unspecified

Spectral Measures Orthogonal Polynomials and Absolute ContinuitFinal published version, 558 KBLicense: Unspecified

Cite this

@article{b6e85acd9ea24d53a98c2c444d1b65f4,

title = "Spectral Measures, Orthogonal Polynomials, and Absolute Continuity",

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.",

author = "Joanne Dombrowski",

year = "1988",

month = jul,

day = "1",

doi = "10.1137/0519065",

language = "American English",

volume = "19",

journal = "SIAM Journal on Mathematical Analysis",

}

TY - JOUR

T1 - Spectral Measures, Orthogonal Polynomials, and Absolute Continuity

AU - Dombrowski, Joanne

PY - 1988/7/1

Y1 - 1988/7/1

N2 - 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.

AB - 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.

UR - https://corescholar.libraries.wright.edu/math/53

U2 - 10.1137/0519065

DO - 10.1137/0519065

M3 - Article

VL - 19

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

ER -

Spectral Measures, Orthogonal Polynomials, and Absolute Continuity

Abstract

Disciplines

Access to Document

Other files and links

Cite this