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DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 1140 | - |
dc.citation.number | 5 | - |
dc.citation.startPage | 1121 | - |
dc.citation.title | JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 22 | - |
dc.contributor.author | Christensen, Ole | - |
dc.contributor.author | Kim, Hongoh | - |
dc.contributor.author | Kim, Rae Young | - |
dc.date.accessioned | 2023-12-21T23:11:41Z | - |
dc.date.available | 2023-12-21T23:11:41Z | - |
dc.date.created | 2016-01-27 | - |
dc.date.issued | 2016-10 | - |
dc.description.abstract | We characterize the entire functions P of d variables, d≥2, for which the Zd-translates of Pχ[0,N]d satisfy the partition of unity for some N∈N. In contrast to the one-dimensional case, these entire functions are not necessarily periodic. In the case where P is a trigonometric polynomial, we characterize the maximal smoothness of Pχ[0,N]d, as well as the function that achieves it. A number of especially attractive constructions are achieved, e.g., of trigonometric polynomials leading to any desired (finite) regularity for a fixed support size. As an application we obtain easy constructions of matrix-generated Gabor frames in L2(Rd), with small support and high smoothness. By sampling this yields dual pairs of finite Gabor frames in ℓ2(Zd). | - |
dc.identifier.bibliographicCitation | JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, v.22, no.5, pp.1121 - 1140 | - |
dc.identifier.doi | 10.1007/s00041-015-9450-x | - |
dc.identifier.issn | 1069-5869 | - |
dc.identifier.scopusid | 2-s2.0-84987967983 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/18227 | - |
dc.identifier.url | http://link.springer.com/article/10.1007%2Fs00041-015-9450-x | - |
dc.identifier.wosid | 000383707300005 | - |
dc.language | 영어 | - |
dc.publisher | SPRINGER | - |
dc.title | On Partition of Unities Generated by Entire Functions and Gabor Frames in L2(Rd) and 2(Zd) | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Entire functions | - |
dc.subject.keywordAuthor | Trigonometric polynomials | - |
dc.subject.keywordAuthor | Partition of unity | - |
dc.subject.keywordAuthor | Dual frame pairs | - |
dc.subject.keywordAuthor | Gabor systems | - |
dc.subject.keywordAuthor | Tight frames | - |
dc.subject.keywordPlus | WEYL-HEISENBERG FRAMES | - |
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