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Malotalasna transformacija u prostorima distribucija i ultradistribucija i teoreme Abelovog i Tauberovog tipa

Wavelet Transform of Distributions and Ultradistributions and Abelian and Tauberian Theorems

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2010
Disertacija.pdf (661.3Kb)
IzvestajKomisije.pdf (16.51Mb)
Author
Rakić, Dušan
Mentor
Teofanov, Nenad
Committee members
Pilipović, Stevan
Teofanov, Nenad
Takači, Arpad
Vindas, Jasson
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Abstract
U 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.
In 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.
Faculty:
Универзитет у Новом Саду, Природно-математички факултет
Date:
18-12-2010
Keywords:
Prostori distribucija / spaces of distributions / malotalasna transformacija / kvaziasimptotika / prostori temperiranih ultradistribucija / wavelet transform / quasiasymptotics / spaces of tempered ultradistributions
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Handle
https://hdl.handle.net/21.15107/rcub_nardus_17855
URI
https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacijadisertacija.pdf?controlNumber=(BISIS)77533&fileName=disertacija.pdf&id=303&source=NaRDuS&language=sr
https://www.cris.uns.ac.rs/record.jsf?recordId=77533&source=NaRDuS&language=sr
https://www.cris.uns.ac.rs/DownloadFileServlet/IzvestajKomisije15937726843266.pdf?controlNumber=(BISIS)77533&fileName=15937726843266.pdf&id=15950&source=NaRDuS&language=sr
/DownloadFileServlet/IzvestajKomisije15937726843266.pdf?controlNumber=(BISIS)77533&fileName=15937726843266.pdf&id=15950
https://nardus.mpn.gov.rs/handle/123456789/17855

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