Polyanalytic Toeplitz Operators: Isomorphisms, Symbolic Calculus and Approximation of Weyl Operators
| dc.contributor.author | Keller, Johannes | |
| dc.contributor.author | Luef, Franz | |
| dc.date.accessioned | 2021-05-20T11:02:56Z | |
| dc.date.available | 2021-05-20T11:02:56Z | |
| dc.date.created | 2021-05-18T14:45:03Z | |
| dc.date.issued | 2021 | |
| dc.identifier.issn | 1069-5869 | |
| dc.identifier.uri | https://hdl.handle.net/11250/2755848 | |
| dc.description.abstract | We discuss an extension of Toeplitz quantization based on polyanalytic functions. We derive isomorphism theorem for polyanalytic Toeplitz operators between weighted Sobolev-Fock spaces of polyanalytic functions, which are images of modulation spaces under polyanalytic Bargmann transforms. This generalizes well-known results from the analytic setting. Finally, we derive an asymptotic symbol calculus and present an asymptotic expansion of complex Weyl operators in terms of polyanalytic Toeplitz operators. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Springer | en_US |
| dc.rights | Navngivelse 4.0 Internasjonal | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
| dc.title | Polyanalytic Toeplitz Operators: Isomorphisms, Symbolic Calculus and Approximation of Weyl Operators | en_US |
| dc.type | Peer reviewed | en_US |
| dc.type | Journal article | en_US |
| dc.description.version | publishedVersion | en_US |
| dc.source.volume | 27 | en_US |
| dc.source.journal | Journal of Fourier Analysis and Applications | en_US |
| dc.identifier.doi | https://doi.org/10.1007/s00041-021-09843-0 | |
| dc.identifier.cristin | 1910555 | |
| dc.description.localcode | Open Access 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/. | en_US |
| cristin.ispublished | true | |
| cristin.fulltext | postprint | |
| cristin.qualitycode | 2 |
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