dc.contributor.author | Malinnikova, Eugenia | |
dc.contributor.author | Fernandez-Bertolin, Aingeru | |
dc.date.accessioned | 2021-09-30T12:04:38Z | |
dc.date.available | 2021-09-30T12:04:38Z | |
dc.date.created | 2021-09-09T19:06:48Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Bulletin of the American Mathematical Society. 2021, 58 (3), 357-375. | en_US |
dc.identifier.issn | 0273-0979 | |
dc.identifier.uri | https://hdl.handle.net/11250/2786641 | |
dc.description.abstract | Abstract: The Hardy uncertainty principle says that no function is better localized together with its Fourier transform than the Gaussian. The textbook proof of the result, as well as one of the original proofs by Hardy, refers to the Phragmén–Lindelöf theorem. In this note we first describe the connection of the Hardy uncertainty to the Schrödinger equation, and give a new proof of Hardy’s result which is based on this connection and the Liouville theorem. The proof is related to the second proof of Hardy, which has been undeservedly forgotten. Then we survey the recent results on dynamical versions of Hardy’s theorem. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | American Mathematical Society | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | Dynamical versions of Hardy's uncertainty principle: a survey. | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.rights.holder | This is the authors' accepted manuscript to the article. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ The final authenticated version is available online at: http://dx.doi.org/10.1090/bull/1729 | en_US |
dc.source.pagenumber | 357-375 | en_US |
dc.source.volume | 58 | en_US |
dc.source.journal | Bulletin of the American Mathematical Society | en_US |
dc.source.issue | 3 | en_US |
dc.identifier.doi | https://doi.org/10.1090/bull/1729 | |
dc.identifier.cristin | 1932985 | |
dc.relation.project | Norges forskningsråd: 275113 | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |