dc.contributor.author | Fernández Bertolin, Aingeru | |
dc.contributor.author | Malinnikova, Eugenia | |
dc.date.accessioned | 2021-07-16T11:25:21Z | |
dc.date.available | 2021-07-16T11:25:21Z | |
dc.date.issued | 2021-06-03 | |
dc.identifier.citation | Bulletin of the American Mathematical Society 58(3) : 357–375 (2021) | es_ES |
dc.identifier.issn | 0273-0979 | |
dc.identifier.issn | 1088-9485 | |
dc.identifier.uri | http://hdl.handle.net/10810/52481 | |
dc.description.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. | es_ES |
dc.description.sponsorship | The first author was partially supported by ERCEA Advanced Grant 2014 669689 - HADE, by the project PGC2018-094528-B-I00 (AEI/FEDER, UE) and acronym “IHAIP”, and by the Basque Government through the project IT1247-19.
The second author was partially supported by NSF grant DMS-1956294 and by the Research Council of Norway, project 275113. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | American Mathematical Society | es_ES |
dc.relation | info:eu-repo/grantAgreement/EC/H2020/669689 | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.subject | uncertainty principle | es_ES |
dc.subject | Schrödinger equation | es_ES |
dc.title | Dynamical versions of Hardy's uncertainty principle: A survey | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.holder | CC BY-NC-ND | es_ES |
dc.relation.publisherversion | https://www.ams.org/journals/bull/2021-58-03/S0273-0979-2021-01729-0/ | es_ES |
dc.identifier.doi | 10.1090/bull/1729 | |
dc.identifier.doi | 10.1090/bull/1729 | |
dc.contributor.funder | European Commission | |
dc.departamentoes | Matemáticas | es_ES |
dc.departamentoeu | Matematika | es_ES |