<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 teoreme koji karakterišu elemente prostora konvolutora i multiplikatora. Date su strukturne teoreme za ultradistribucione polugrupe i eksponenecijalne polugrupe. Furijeve huperfunkciske polugrupe i hiperfunkciske polugrupe sa generatorima koji su negusto definisani <br />su analizirani, takođe su date strukturne teoreme i spektralne karakterizacije kao i dovoljni uslovi za postojenje na takvih polugrupa za operator A koji ne mora biti gust. Apstraktni Košijev problem je proučavan za težinske Banahove prostore kao i za odgovarujuće prostora ultradistribucija. Takođe su date i primene za određene klase<br />jednačina.</p>
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 |
Page generated in 0.0071 seconds