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On Hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy
 Harry Dym
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Reproducing kernel space methods are used to study the truncated matrix Hamburger moment problem on the line, an associated interpolation problem and the maximum entropy solution. Enroute a number of formulas are developed for orthogonal matrix polynomials associated with a block Hankel matrix (based on the specified matrix moments for the Hamburger problem) under less restrictive conditions than positive definiteness. An analogue of a recent formula of AlpayGohberg and GohbergLerer for the number of roots of certain associated matrix polynomials is also established.
The author would like to acknowledge with thanks Renee and Jay Weiss for endowing the chair which supported this research.
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 Title
 On Hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy
 Journal

Integral Equations and Operator Theory
Volume 12, Issue 6 , pp 757812
 Cover Date
 19891101
 DOI
 10.1007/BF01196878
 Print ISSN
 0378620X
 Online ISSN
 14208989
 Publisher
 BirkhäuserVerlag
 Additional Links
 Topics
 Authors

 Harry Dym ^{(1)}
 Author Affiliations

 1. Department of Theoretical Mathematics, The Weizmann Institute of Science, Rehovot, 76100, Israel