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Title: | On some classes of multipliers and semigroups in the spaces of ultradistributions and hyperfunctions O nekim klasama multiplikatora i semigrupana prostorima ultradistribucija i hiperfunkcija |
Authors: | Velinov Daniel | Keywords: | Convolutors, Multipliers, Ultradistribution semigroups, Hyperfunction semigroups, Cauchy problem;Konvolutori, Multiplikatori, Ultradistribucione polugrupe, Hiperfunkcione polugrupe, Košijev problem | Issue Date: | 18-Oct-2014 | Publisher: | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu University of Novi Sad, Faculty of Sciences at Novi Sad |
Abstract: | <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> |
URI: | https://open.uns.ac.rs/handle/123456789/29469 |
Appears in Collections: | PMF Teze/Theses |
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