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Frames and translation invariant spaces

dc.contributor.advisorPilipović, Stevan
dc.contributor.otherTakači, Arpad
dc.contributor.otherTeofanov, Nenad
dc.contributor.otherOparnica, Ljubica
dc.creatorSimić, Suzana
dc.date.accessioned2021-02-17T12:14:46Z
dc.date.available2021-02-17T12:14:46Z
dc.date.issued2011-12-03
dc.identifier.urihttps://www.cris.uns.ac.rs/DownloadFileServlet/Disertacijadisertacija.pdf?controlNumber=(BISIS)76786&fileName=disertacija.pdf&id=63&source=NaRDuS&language=srsr
dc.identifier.urihttps://www.cris.uns.ac.rs/record.jsf?recordId=76786&source=NaRDuS&language=srsr
dc.identifier.urihttps://www.cris.uns.ac.rs/DownloadFileServlet/IzvestajKomisije159378426909067.pdf?controlNumber=(BISIS)76786&fileName=159378426909067.pdf&id=15955&source=NaRDuS&language=srsr
dc.identifier.uri/DownloadFileServlet/IzvestajKomisije159378426909067.pdf?controlNumber=(BISIS)76786&fileName=159378426909067.pdf&id=15955
dc.identifier.urihttps://nardus.mpn.gov.rs/handle/123456789/17824
dc.description.abstractU disertaciji se daje pregled osnovnih pojmova i poznatih rezultata teorije okvira. Prou·cavani su translaciono inavarijantni prostori sa te·zinama i dati uslovi pod kojima kolekcija funkcija ·cini okvir u tom prostoru. Takod¹e, konstruisan je niz takvih prostora i prikazani uslovi pod kojima ¶ce odgovaraju¶ce funkcije koje generi·su taj prostor predstavljati ili Banach-ov okvir ili Riesz-ovu bazu, i samim tim ustanoviti zatvorenost takvog prostora.sr
dc.description.abstractThe basic notions and known results from the theory of frames are given in thesis. We study translation-invariant weighted spaces and give the conditions for a collection of functions to form a frame. Further, we construct a sequence of such spaces and show when the appropriate chosen functions form a p-frame or Riesz basis, and according to that explain the closedness of the space generated with these functions.en
dc.formatapplication/pdf
dc.languagesr (latin script)
dc.publisherУниверзитет у Новом Саду, Природно-математички факултетsr
dc.rightsopenAccessen
dc.sourceУниверзитет у Новом Садуsr
dc.subjectProstori distribucija, p-okvir, te·zinski prostori, translaciono in- varijantni prostori, Fr¶echet-ov okvirsr
dc.subjectSpace of distributions, p-frame, weighted spaces, transla- tion-invariant spaces, Fr¶echet-frameen
dc.titleOkviri i translaciono invarijantni prostorisr
dc.title.alternativeFrames and translation invariant spacesen
dc.typedoctoralThesisen
dc.rights.licenseBY-NC
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/68204/Disertacija.pdf
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/68205/IzvestajKomisije.pdf


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