On the Duality Principle by Casazza, Kutyniok, and Lammers

Cited 17 time in webofscience Cited 0 time in scopus
  • Hit : 322
  • Download : 0
DC FieldValueLanguage
dc.contributor.authorChristensen O.ko
dc.contributor.authorKim, Hong Ohko
dc.contributor.authorKim R.Y.ko
dc.date.accessioned2013-03-09T07:02:58Z-
dc.date.available2013-03-09T07:02:58Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2011-08-
dc.identifier.citationJOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, v.17, no.4, pp.640 - 655-
dc.identifier.issn1069-5869-
dc.identifier.urihttp://hdl.handle.net/10203/95666-
dc.description.abstractThe R-dual sequences of a frame {f(i)}(i is an element of I), introduced by Casazza, Kutyniok and Lammers in (J. Fourier Anal. Appl. 10(4): 383-408, 2004), provide a powerful tool in the analysis of duality relations in general frame theory. In this paper we derive conditions for a sequence {omega(j)}(j is an element of I) to be an R-dual of a given frame {fi}(i is an element of I). In particular we show that the R-duals {omega(j)}(j is an element of I) can be characterized in terms of frame properties of an associated sequence {n(i)}(i is an element of I). We also derive the duality results obtained for tight Gabor frames in (Casazza et al. in J. Fourier Anal. Appl. 10(4): 383-408, 2004) as a special case of a general statement for R-duals of frames in Hilbert spaces. Finally we consider a relaxation of the R-dual setup of independent interest. Several examples illustrate the results.-
dc.languageEnglish-
dc.publisherBirkhauser Boston Inc-
dc.titleOn the Duality Principle by Casazza, Kutyniok, and Lammers-
dc.typeArticle-
dc.identifier.wosid000295514900004-
dc.identifier.scopusid2-s2.0-79960171103-
dc.type.rimsART-
dc.citation.volume17-
dc.citation.issue4-
dc.citation.beginningpage640-
dc.citation.endingpage655-
dc.citation.publicationnameJOURNAL OF FOURIER ANALYSIS AND APPLICATIONS-
dc.contributor.localauthorKim, Hong Oh-
dc.contributor.nonIdAuthorChristensen O.-
dc.contributor.nonIdAuthorKim R.Y.-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorDuality principle-
dc.subject.keywordAuthorFrame-
dc.subject.keywordAuthorRiesz basis-
dc.subject.keywordAuthorGabor system-
dc.subject.keywordAuthorWexler-Raz theorem-
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 17 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0