The band method and inverse problems for orthogonal matrix functions of Szego-Krein type

M.A. Kaashoek, L. Lerer

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

A band method approach for solving inverse problems for certain orthogonal functions is developed. The inverse theorems for Szego-Kreǐn matrix polynomials and for Kreǐn orthogonal entire matrix functions are obtained as corollaries of the band method results. Other examples, including a non-stationary variant of the Szego-Kreǐn theorem, are presented to illustrate the scope of the abstract theorems. © 2012 Royal Dutch Mathematical Society (KWG).
Original languageEnglish
Pages (from-to)900-920
JournalIndagationes Mathematicae
Volume23
Issue number4
DOIs
Publication statusPublished - 2012

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