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dc.citation.startPage 94 -
dc.citation.title JOURNAL OF INEQUALITIES AND APPLICATIONS -
dc.citation.volume 1 -
dc.contributor.author Christensen, Ole -
dc.contributor.author Kim, Hongoh -
dc.contributor.author Kim, Rae Young -
dc.date.accessioned 2023-12-22T00:07:32Z -
dc.date.available 2023-12-22T00:07:32Z -
dc.date.created 2016-04-12 -
dc.date.issued 2016-03 -
dc.description.abstract We identify a class of continuous compactly supported functions for which the known part of the Gabor frame set can be extended. At least for functions with support on an interval of length two, the curve determining the set touches the known obstructions. Easy verifiable sufficient conditions for a function to belong to the class are derived, and it is shown that the B-splines (Formula presented.) , (Formula presented.) , and certain ‘continuous and truncated’ versions of several classical functions (e.g., the Gaussian and the two-sided exponential function) belong to the class. The sufficient conditions for the frame property guarantees the existence of a dual window with a prescribed size of the support. -
dc.identifier.bibliographicCitation JOURNAL OF INEQUALITIES AND APPLICATIONS, v.1, pp.94 -
dc.identifier.doi 10.1186/s13660-016-1021-4 -
dc.identifier.issn 1029-242X -
dc.identifier.scopusid 2-s2.0-84961827816 -
dc.identifier.uri https://scholarworks.unist.ac.kr/handle/201301/18940 -
dc.identifier.url http://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-016-1021-4 -
dc.identifier.wosid 000372969300001 -
dc.language 영어 -
dc.publisher SPRINGER INTERNATIONAL PUBLISHING AG -
dc.title On the Gabor frame set for compactly supported continuous functions -
dc.type Article -
dc.description.isOpenAccess TRUE -
dc.relation.journalWebOfScienceCategory Mathematics, Applied; Mathematics -
dc.relation.journalResearchArea Mathematics -
dc.description.journalRegisteredClass scie -
dc.description.journalRegisteredClass scopus -
dc.subject.keywordAuthor B-splines -
dc.subject.keywordAuthor frame set -
dc.subject.keywordAuthor Gabor frames -
dc.subject.keywordPlus DENSITY THEOREMS -
dc.subject.keywordPlus ZAK TRANSFORMS -
dc.subject.keywordPlus INTERPOLATION -
dc.subject.keywordPlus BASES -

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