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On the Christoffel-Darboux Kernel for Random Hermitian Matrices with External Source

On the Christoffel-Darboux Kernel for Random Hermitian Matrices with External Source Bleher & Kuijlaars and Daems & Kuijlaars showed that the correlation functions of the eigenvalues of a random matrix from unitary ensemble with external source can be expressed in terms of the Christoffel-Darboux kernel for multiple orthogonal polynomials. We obtain a representation of this Christoffel-Darboux kernel in terms of the usual orthogonal polynomials. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

On the Christoffel-Darboux Kernel for Random Hermitian Matrices with External Source

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References (19)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321740
Publisher site
See Article on Publisher Site

Abstract

Bleher & Kuijlaars and Daems & Kuijlaars showed that the correlation functions of the eigenvalues of a random matrix from unitary ensemble with external source can be expressed in terms of the Christoffel-Darboux kernel for multiple orthogonal polynomials. We obtain a representation of this Christoffel-Darboux kernel in terms of the usual orthogonal polynomials.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Feb 8, 2009

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