Pollicott, M. and Sewell, Benedict Adam (2023) Explicit examples of resonances for Anosov maps of the torus. NONLINEARITY, 36 (1). pp. 110-132. ISSN 0951-7715
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Official URL: https://doi.org/10.1088/1361-6544/ac9a2e
Abstract
In (2017 Nonlinearity 30 2667-86) Slipantschuk, Bandtlow and Just gave concrete examples of Anosov diffeomorphisms of T 2 for which their resonances could be completely described. Their approach was based on composition operators acting on analytic anisotropic Hilbert spaces. In this note we present a construction of alternative anisotropic Hilbert spaces which helps to simplify parts of their analysis and gives scope for constructing further examples.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | resonances; Blaschke product; Anosov diffeomorphism; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 03 Apr 2024 07:59 |
| Last Modified: | 03 Apr 2024 07:59 |
| URI: | https://real.mtak.hu/id/eprint/191439 |
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