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https://open.uns.ac.rs/handle/123456789/27735| Title: | Wavelet Transform of Distributions and Ultradistributions and Abelian and Tauberian Theorems Malotalasna transformacija u prostorima distribucija i ultradistribucija i teoreme Abelovog i Tauberovog tipa |
Authors: | Rakić Dušan | Keywords: | spaces of distributions, wavelet transform, quasiasymptotics, spaces of tempered ultradistributions;Prostori distribucija, malotalasna transformacija, kvaziasimptotika, prostori temperiranih ultradistribucija | Issue Date: | 18-Dec-2010 | Publisher: | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu University of Novi Sad, Faculty of Sciences at Novi Sad |
Abstract: | <p>U disertaciji se navode definicije i svojstva malotalasne transformacije i kvaziasimptotskog<br />ponaˇsanja distribucija. Teoreme Abelovog i Tauberovog tipa<br />su koriˇs´cene za asimptotsku analizu temperiranih distribucija, u odnosu na<br />njihovu malotalasnu transformaciju. Takode, prouˇcavana je i malotalasna<br />transformacija ultradiferencijabilnih funkcija i temperiranih ultradistribucija.</p> <p> In thesis we give basic notions of wavelet transform and quasiasymptotic<br /> behavior of distributions. Via Abelian and Tauberian type of theorems we<br /> study quasiasymptotic behavior of tempered distributions, related to their<br /> wavelet transform. Further, we study wavelet transform of ultradifferential<br /> functions and tempered ultradistributions.</p> |
URI: | https://open.uns.ac.rs/handle/123456789/27735 |
| Appears in Collections: | PMF Teze/Theses |
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