On some classes of multipliers and semigroups in the spaces of ultradistributions and hyperfunctions / O nekim klasama multiplikatora i semigrupana prostorima ultradistribucija i hiperfunkcija

Description

<p>We are study the spaces of convolutors and multipliers in the spaces of<br />tempered ultradistributions. There given theorems which gives us the characteri-zation of all the elements which belongs to spaces of convolutors and multipliers.<br />Structural theorem for ultradistribution semigroups and exponential ultradistri-bution semigroups is given. Fourier hyperfunction semigroups and hyperfunction<br />semigroups with non-densely dened generators are analyzed and also structural<br />theorems and spectral characterizations give necessary and sucient conditions<br />for the existence of such semigroups generated by a closed not necessarily densely<br />dened operator A. The abstract Cauchy problem is considered in the Banach<br />valued weighted Beurling ultradistribution setting and given some applications on<br />particular equations.</p> / <p>U disertaciji se proučavaju prostor konvolutora i multiplikatora na prostorima temperiranih ultradistribucija. Dokazane su&nbsp;teoreme koji karakteri&scaron;u elemente prostora konvolutora i multiplikatora. Date su strukturne teoreme za ultradistribucione &nbsp;polugrupe&nbsp;i eksponenecijalne polugrupe. Furijeve huperfunkciske polugrupe i&nbsp;hiperfunkciske polugrupe sa generatorima koji su negusto definisani&nbsp;<br />su analizirani, takođe su date strukturne teoreme i spektralne karakterizacije kao i dovoljni uslovi za postojenje na takvih polugrupa&nbsp;za operator A koji ne mora biti gust. Apstraktni Ko&scaron;ijev problem je&nbsp;proučavan za težinske Banahove prostore kao i za odgovarujuće prostora ultradistribucija. Takođe su date i primene za određene klase<br />jednačina.</p>

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1. https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija140265995221725.pdf?controlNumber=(BISIS)87864&fileName=140265995221725.pdf&id=2233&source=NDLTD&language=en
2. https://www.cris.uns.ac.rs/record.jsf?recordId=87864&source=NDLTD&language=en

Tags

Additional Fields

Identifer	oai:union.ndltd.org:uns.ac.rs/oai:CRISUNS:(BISIS)87864
Date	18 October 2014
Creators	Velinov Daniel
Contributors	Pilipović Stevan, Nedeljkov Marko, Teofanov Nenad, Perišić Dušanka, Kostić Marko
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	English
Detected Language	English
Type	PhD thesis