Wiener-Hopf indices of unitary functions on the unit circle in terms of realizations and related results on Toeplitz operators.

André Ran, M.A. Kaashoek, Gilbert Groenewald

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

We provide new formulas for the Wiener–Hopf factorization indices of a rational matrix function R which has neither poles nor zeros on the unit circle. In addition, we recover recent results on the Fredholm characteristics of the Toeplitz operator with symbol R via the method of matricial coupling. Furthermore, we present an alternative formula for the index in terms of the Fourier coefficients of R.
Original languageEnglish
Pages (from-to)649-710
Number of pages17
JournalIndagationes Mathematicae
Volume28
Issue number3
DOIs
Publication statusPublished - 2017

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