On the spectrum of tridiagonal operators and the support of orthogonalization measures

Rupert Lasser; Josef Obermaier; Julia Wagner

doi:10.1007/s00013-013-0489-0

On the spectrum of tridiagonal operators and the support of orthogonalization measures

Rupert Lasser, Josef Obermaier, Julia Wagner

Department of Mathematics

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

2 Scopus citations

Abstract

We investigate the support of the orthogonalization measure π of a large class of orthogonal polynomial sequences based on the parameters of the three-term recurrence relation. Our main result is the characterization when the possible right end-point 1 is a member of supp π.

Original language	English
Pages (from-to)	289-299
Number of pages	11
Journal	Archiv der Mathematik
Volume	100
Issue number	3
DOIs	https://doi.org/10.1007/s00013-013-0489-0
State	Published - Mar 2013

Keywords

Jacobi operators
Orthogonal polynomials
Support of orthogonalization measure
Tridiagonal matrices

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10.1007/s00013-013-0489-0

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title = "On the spectrum of tridiagonal operators and the support of orthogonalization measures",

abstract = "We investigate the support of the orthogonalization measure π of a large class of orthogonal polynomial sequences based on the parameters of the three-term recurrence relation. Our main result is the characterization when the possible right end-point 1 is a member of supp π.",

keywords = "Jacobi operators, Orthogonal polynomials, Support of orthogonalization measure, Tridiagonal matrices",

author = "Rupert Lasser and Josef Obermaier and Julia Wagner",

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T1 - On the spectrum of tridiagonal operators and the support of orthogonalization measures

AU - Lasser, Rupert

AU - Obermaier, Josef

AU - Wagner, Julia

PY - 2013/3

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N2 - We investigate the support of the orthogonalization measure π of a large class of orthogonal polynomial sequences based on the parameters of the three-term recurrence relation. Our main result is the characterization when the possible right end-point 1 is a member of supp π.

AB - We investigate the support of the orthogonalization measure π of a large class of orthogonal polynomial sequences based on the parameters of the three-term recurrence relation. Our main result is the characterization when the possible right end-point 1 is a member of supp π.

KW - Jacobi operators

KW - Orthogonal polynomials

KW - Support of orthogonalization measure

KW - Tridiagonal matrices

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DO - 10.1007/s00013-013-0489-0

M3 - Article

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SN - 0003-889X

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SP - 289

EP - 299

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 3

ER -

On the spectrum of tridiagonal operators and the support of orthogonalization measures

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Keywords

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