Wiener-Hopf indices of unimodular functions on the unit circle, revisited

A. E. Frazho; M. A. Kaashoek; A. C.M. Ran; F. van Schagen

doi:10.1016/j.laa.2023.10.019

Wiener-Hopf indices of unimodular functions on the unit circle, revisited

A. E. Frazho, M. A. Kaashoek, A. C.M. Ran^*, F. van Schagen

^*Corresponding author for this work

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

Inspired by the paper of Groenewald, Kaashoek and Ran (2017) [19], we present an operator-theoretic approach to provide further insight and simpler computational formulas for the Wiener-Hopf indices of a rational matrix valued function taking unimodular values on the unit circle.

Original language	English
Pages (from-to)	201-231
Number of pages	31
Journal	Linear Algebra and its Applications
Volume	697
Early online date	27 Oct 2023
DOIs	https://doi.org/10.1016/j.laa.2023.10.019
Publication status	Published - 15 Sept 2024

Bibliographical note

Part of special issue: In Honor of Albrecht Böttcher.

Publisher Copyright:
© 2023 The Author(s)

Keywords

Toeplitz operators
Unitary rational matrix functions
Wiener-Hopf indices

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10.1016/j.laa.2023.10.019

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abstract = "Inspired by the paper of Groenewald, Kaashoek and Ran (2017) [19], we present an operator-theoretic approach to provide further insight and simpler computational formulas for the Wiener-Hopf indices of a rational matrix valued function taking unimodular values on the unit circle.",

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note = "Part of special issue: In Honor of Albrecht B{\"o}ttcher. Publisher Copyright: {\textcopyright} 2023 The Author(s)",

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AU - Frazho, A. E.

AU - Kaashoek, M. A.

AU - Ran, A. C.M.

AU - van Schagen, F.

PY - 2024/9/15

Y1 - 2024/9/15

N2 - Inspired by the paper of Groenewald, Kaashoek and Ran (2017) [19], we present an operator-theoretic approach to provide further insight and simpler computational formulas for the Wiener-Hopf indices of a rational matrix valued function taking unimodular values on the unit circle.

AB - Inspired by the paper of Groenewald, Kaashoek and Ran (2017) [19], we present an operator-theoretic approach to provide further insight and simpler computational formulas for the Wiener-Hopf indices of a rational matrix valued function taking unimodular values on the unit circle.

KW - Toeplitz operators

KW - Unitary rational matrix functions

KW - Wiener-Hopf indices

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VL - 697

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EP - 231

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

ER -

Wiener-Hopf indices of unimodular functions on the unit circle, revisited

Abstract

Bibliographical note

Keywords

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