dc.contributor.author | Gröchenig, Karlheinz | |
dc.contributor.author | Lyubarskii, Yurii | |
dc.date.accessioned | 2020-04-20T08:06:54Z | |
dc.date.available | 2020-04-20T08:06:54Z | |
dc.date.created | 2019-12-11T15:10:57Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 1747-6933 | |
dc.identifier.uri | https://hdl.handle.net/11250/2651615 | |
dc.description.abstract | We 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.iso | eng | en_US |
dc.publisher | Taylor & Francis | en_US |
dc.title | Sampling of entire functions of several complex variables on a lattice and multivariate Gabor frames | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.journal | Complex Variables and Elliptic Equations | en_US |
dc.identifier.doi | 10.1080/17476933.2019.1681415 | |
dc.identifier.cristin | 1759407 | |
dc.description.localcode | Locked 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/10.1080/17476933.2019.1681415 | en_US |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |