Malotalasna transformacija u prostorima distribucija i ultradistribucija i teoreme Abelovog i Tauberovog tipa / Wavelet Transform of Distributions and Ultradistributions and Abelian and Tauberian Theorems

Description

<p>U disertaciji se navode definicije i svojstva malotalasne transformacije i kvaziasimptotskog<br />ponaˇsanja distribucija. Teoreme Abelovog i Tauberovog tipa<br />su koriˇs&acute;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>

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1. https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacijadisertacija.pdf?controlNumber=(BISIS)77533&fileName=disertacija.pdf&id=303&source=NDLTD&language=en
2. https://www.cris.uns.ac.rs/record.jsf?recordId=77533&source=NDLTD&language=en

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Additional Fields

Identifer	oai:union.ndltd.org:uns.ac.rs/oai:CRISUNS:(BISIS)77533
Date	18 December 2010
Creators	Rakić Dušan
Contributors	Teofanov Nenad, Pilipović Stevan, Takači Arpad, Vindas Jasson
Publisher	Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, University of Novi Sad, Faculty of Sciences at Novi Sad
Source Sets	University of Novi Sad
Language	Serbian
Detected Language	English
Type	PhD thesis
Format	application/pdf