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dc.contributor.authorGröchenig, Karlheinz
dc.contributor.authorLyubarskii, Yurii
dc.date.accessioned2020-04-20T08:06:54Z
dc.date.available2020-04-20T08:06:54Z
dc.date.created2019-12-11T15:10:57Z
dc.date.issued2019
dc.identifier.issn1747-6933
dc.identifier.urihttps://hdl.handle.net/11250/2651615
dc.description.abstractWe give a general construction of entire functions in d complex variables that vanish on a lattice of the form = A(Z + iZ)d for an invertible complex-valued matrix. As an application, we exhibit a class of lattices of density > 1 that fail to be a sampling set for the Bargmann–Fock space in C2. By using an equivalent real-variable formulation, we show that these lattices fail to generate a Gabor frame.en_US
dc.language.isoengen_US
dc.publisherTaylor & Francisen_US
dc.titleSampling of entire functions of several complex variables on a lattice and multivariate Gabor framesen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionacceptedVersionen_US
dc.source.journalComplex Variables and Elliptic Equationsen_US
dc.identifier.doi10.1080/17476933.2019.1681415
dc.identifier.cristin1759407
dc.description.localcodeLocked until 29.10.2020 due to copyright restrictions. This is an [Accepted Manuscript] of an article published by Taylor & Francis, available at https://doi.org/10.1080/17476933.2019.1681415en_US
cristin.unitcode194,63,15,0
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode1


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