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An uncertainty principle for solutions of the Schrödinger equation on H-type groups

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorFERNANDEZ-BERTOLIN, Aingeru
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorJAMING, Philippe
hal.structure.identifierInstituto de Matematicas, Unidad Cuernavaca [UNAM-CUERNAVACA]
dc.contributor.authorPÉREZ-ESTEVA, Salvador
dc.date.accessioned2024-04-04T02:57:44Z
dc.date.available2024-04-04T02:57:44Z
dc.date.issued2021
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192588
dc.description.abstractEnIn this paper we consider uncertainty principles for solutions of certain PDEs on H-type groups. We first prove that, contrary to the euclidean setting, the heat kernel on H-type groups is not characterized as the only solution of the heat equation that has sharp decay at 2 different times. We then prove the analogue of Hardy's Uncertainty Principle for solutions of the Schrödinger equation with potential on H-type groups. This extends the free case considered by Ben Sa¨ıdSa¨ıd, Dogga and Thangavelu [BTD] and by Ludwig and Müller [LM].
dc.language.isoen
dc.subject.enand phrases: Uncertainty Principle
dc.subject.enH-type group
dc.subject.enSchrödinger equation
dc.subject.enheat kernel
dc.title.enAn uncertainty principle for solutions of the Schrödinger equation on H-type groups
dc.typeArticle de revue
dc.identifier.doi10.1017/S1446788720000026
dc.subject.halMathématiques [math]/Analyse classique [math.CA]
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
dc.identifier.arxiv1810.10212
bordeaux.journalJournal of Australian Mathematical Society
bordeaux.page1-16
bordeaux.volume111
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01901575
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01901575v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Australian%20Mathematical%20Society&rft.date=2021&rft.volume=111&rft.spage=1-16&rft.epage=1-16&rft.au=FERNANDEZ-BERTOLIN,%20Aingeru&JAMING,%20Philippe&P%C3%89REZ-ESTEVA,%20Salvador&rft.genre=article


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