Quantum Harmonic Analysis on Lattices and Gabor Multipliers
| dc.contributor.author | Skrettingland, Eirik | |
| dc.date.accessioned | 2021-02-05T09:47:42Z | |
| dc.date.available | 2021-02-05T09:47:42Z | |
| dc.date.created | 2020-06-24T15:34:31Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Journal of Fourier Analysis and Applications. 2020, 26, . | en_US |
| dc.identifier.issn | 1069-5869 | |
| dc.identifier.uri | https://hdl.handle.net/11250/2726367 | |
| dc.description.abstract | We develop a theory of quantum harmonic analysis on lattices in R2d. Convolutions of a sequence with an operator and of two operators are defined over a lattice, and using corresponding Fourier transforms of sequences and operators we develop a version of harmonic analysis for these objects. We prove analogues of results from classical harmonic analysis and the quantum harmonic analysis of Werner, including Tauberian theorems and a Wiener division lemma. Gabor multipliers from time-frequency analysis are described as convolutions in this setting. The quantum harmonic analysis is thus a conceptual framework for the study of Gabor multipliers, and several of the results include results on Gabor multipliers as special cases. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Springer Nature | en_US |
| dc.rights | Navngivelse 4.0 Internasjonal | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
| dc.title | Quantum Harmonic Analysis on Lattices and Gabor Multipliers | en_US |
| dc.type | Peer reviewed | en_US |
| dc.type | Journal article | en_US |
| dc.description.version | publishedVersion | en_US |
| dc.source.volume | 26 | en_US |
| dc.source.journal | Journal of Fourier Analysis and Applications | en_US |
| dc.identifier.doi | 10.1007/s00041-020-09759-1 | |
| dc.identifier.cristin | 1816988 | |
| 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 |
| dc.source.articlenumber | 48 | en_US |
| cristin.ispublished | true | |
| cristin.fulltext | postprint | |
| cristin.qualitycode | 2 |
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