Câmara, MC, O'Loughlin, R orcid.org/0000-0002-0045-7161 and Partington, JR orcid.org/0000-0002-6738-3216 (2022) Dual-band general Toeplitz operators. Mediterranean Journal of Mathematics, 19 (4). 175. ISSN 1660-5446
Abstract
We relate dual-band general Toeplitz operators to block truncated Toeplitz operators and, via equivalence after extension, with Toeplitz operators with 4×4 matrix symbols. We discuss their norm, their kernel, Fredholmness, invertibility and spectral properties in various situations, focusing on the spectral properties of the dual-band shift, which turns out to be considerably complex, leading to new and nontrivial connections with the boundary behaviour of the associated inner function.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
Keywords: | General Wiener–Hopf operator; Toeplitz operator; Truncated Toeplitz operator; dual-band signal; Riemann–Hilbert problem; Wiener–Hopf factorization |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 12 Nov 2021 17:00 |
Last Modified: | 08 Apr 2023 00:50 |
Status: | Published |
Publisher: | Springer Nature |
Identification Number: | 10.1007/s00009-022-02087-2 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:179985 |