File Download

There are no files associated with this item.

  • Find it @ UNIST can give you direct access to the published full text of this article. (UNISTARs only)

Views & Downloads

Detailed Information

Cited time in webofscience Cited time in scopus
Metadata Downloads

Full metadata record

DC Field Value Language
dc.citation.endPage 86 -
dc.citation.number 1 -
dc.citation.startPage 72 -
dc.citation.title APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS -
dc.citation.volume 38 -
dc.contributor.author Christensen, Ole -
dc.contributor.author Kim, Hongoh -
dc.contributor.author Kim, RaeYoung -
dc.date.accessioned 2023-12-22T01:45:25Z -
dc.date.available 2023-12-22T01:45:25Z -
dc.date.created 2014-04-16 -
dc.date.issued 2015-01 -
dc.description.abstract Partition of unities appears in many places in analysis. Typically it is generated by compactly supported functions with a certain regularity. In this paper we consider partition of unities obtained as integer-translates of entire functions restricted to finite intervals. We characterize the entire functions that lead to a partition of unity in this way, and we provide characterizations of the "cut-off" entire functions, considered as functions of a real variable, to have desired regularity. In particular we obtain partition of unities generated by functions with small support and desired regularity. Applied to Gabor analysis this leads to constructions of dual pairs of Gabor frames with low redundancy, generated by trigonometric polynomials with small support and desired regularity. -
dc.identifier.bibliographicCitation APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, v.38, no.1, pp.72 - 86 -
dc.identifier.doi 10.1016/j.acha.2014.03.005 -
dc.identifier.issn 1063-5203 -
dc.identifier.scopusid 2-s2.0-84922693891 -
dc.identifier.uri https://scholarworks.unist.ac.kr/handle/201301/4321 -
dc.identifier.url http://www.sciencedirect.com/science/article/pii/S1063520314000451 -
dc.identifier.wosid 000344716600004 -
dc.language 영어 -
dc.publisher ACADEMIC PRESS INC ELSEVIER SCIENCE -
dc.title On entire functions restricted to intervals, partition of unities, and dual Gabor frames -
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 -
dc.subject.keywordPlus BARGMANN-FOCK SPACE -
dc.subject.keywordPlus DENSITY THEOREMS -
dc.subject.keywordPlus REPRESENTATIONS -
dc.subject.keywordPlus INTERPOLATION -

qrcode

Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.