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Wavelet Transform of Distributions and Ultradistributions and Abelian and Tauberian Theorems

dc.contributor.advisorTeofanov, Nenad
dc.contributor.otherPilipović, Stevan
dc.contributor.otherTeofanov, Nenad
dc.contributor.otherTakači, Arpad
dc.contributor.otherVindas, Jasson
dc.creatorRakić, Dušan
dc.date.accessioned2021-02-25T14:52:08Z
dc.date.available2021-02-25T14:52:08Z
dc.date.issued2010-12-18
dc.identifier.urihttps://www.cris.uns.ac.rs/DownloadFileServlet/Disertacijadisertacija.pdf?controlNumber=(BISIS)77533&fileName=disertacija.pdf&id=303&source=NaRDuS&language=srsr
dc.identifier.urihttps://www.cris.uns.ac.rs/record.jsf?recordId=77533&source=NaRDuS&language=srsr
dc.identifier.urihttps://www.cris.uns.ac.rs/DownloadFileServlet/IzvestajKomisije15937726843266.pdf?controlNumber=(BISIS)77533&fileName=15937726843266.pdf&id=15950&source=NaRDuS&language=srsr
dc.identifier.uri/DownloadFileServlet/IzvestajKomisije15937726843266.pdf?controlNumber=(BISIS)77533&fileName=15937726843266.pdf&id=15950
dc.identifier.urihttps://nardus.mpn.gov.rs/handle/123456789/17855
dc.description.abstractU disertaciji se navode definicije i svojstva malotalasne transformacije i kvaziasimptotskog ponaˇsanja distribucija. Teoreme Abelovog i Tauberovog tipa su koriˇs´cene za asimptotsku analizu temperiranih distribucija, u odnosu na njihovu malotalasnu transformaciju. Takode, prouˇcavana je i malotalasna transformacija ultradiferencijabilnih funkcija i temperiranih ultradistribucija.sr
dc.description.abstractIn thesis we give basic notions of wavelet transform and quasiasymptotic behavior of distributions. Via Abelian and Tauberian type of theorems we study quasiasymptotic behavior of tempered distributions, related to their wavelet transform. Further, we study wavelet transform of ultradifferential functions and tempered ultradistributions.en
dc.formatapplication/pdf
dc.languagesr (latin script)
dc.publisherУниверзитет у Новом Саду, Природно-математички факултетsr
dc.rightsopenAccessen
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceУниверзитет у Новом Садуsr
dc.subjectProstori distribucijasr
dc.subjectspaces of distributionsen
dc.subjectmalotalasna transformacijasr
dc.subjectkvaziasimptotikasr
dc.subjectprostori temperiranih ultradistribucijasr
dc.subjectwavelet transformen
dc.subjectquasiasymptoticsen
dc.subjectspaces of tempered ultradistributionsen
dc.titleMalotalasna transformacija u prostorima distribucija i ultradistribucija i teoreme Abelovog i Tauberovog tipasr
dc.title.alternativeWavelet Transform of Distributions and Ultradistributions and Abelian and Tauberian Theoremsen
dc.typedoctoralThesisen
dc.rights.licenseBY-NC-ND
dc.identifier.fulltexthttps://nardus.mpn.gov.rs/bitstream/id/68386/Disertacija.pdf
dc.identifier.fulltexthttps://nardus.mpn.gov.rs/bitstream/id/68387/IzvestajKomisije.pdf
dc.identifier.rcubhttps://hdl.handle.net/21.15107/rcub_nardus_17855


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