Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/29469
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Pilipović Stevan | - |
dc.contributor.author | Velinov Daniel | - |
dc.contributor.other | Nedeljkov Marko | - |
dc.contributor.other | Pilipović Stevan | - |
dc.contributor.other | Teofanov Nenad | - |
dc.contributor.other | Perišić Dušanka | - |
dc.contributor.other | Kostić Marko | - |
dc.date.accessioned | 2020-12-14T16:48:33Z | - |
dc.date.available | 2020-12-14T16:48:33Z | - |
dc.date.issued | 2014-10-18 | - |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/29469 | - |
dc.description.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> | en |
dc.description.abstract | <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> | sr |
dc.language.iso | en | - |
dc.publisher | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu | sr |
dc.publisher | University of Novi Sad, Faculty of Sciences at Novi Sad | en |
dc.source | CRIS UNS | - |
dc.source.uri | http://cris.uns.ac.rs | - |
dc.subject | Convolutors, Multipliers, Ultradistribution semigroups, Hyperfunction semigroups, Cauchy problem | en |
dc.subject | Konvolutori, Multiplikatori, Ultradistribucione polugrupe, Hiperfunkcione polugrupe, Košijev problem | sr |
dc.title | On some classes of multipliers and semigroups in the spaces of ultradistributions and hyperfunctions | en |
dc.title | O nekim klasama multiplikatora i semigrupana prostorima ultradistribucija i hiperfunkcija | sr |
dc.type | Thesis | en |
dc.identifier.url | https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija140265995221725.pdf?controlNumber=(BISIS)87864&fileName=140265995221725.pdf&id=2233&source=BEOPEN&language=en | en |
dc.identifier.url | https://www.cris.uns.ac.rs/record.jsf?recordId=87864&source=BEOPEN&language=en | en |
dc.identifier.externalcrisreference | (BISIS)87864 | - |
dc.source.institution | Prirodno-matematički fakultet u Novom Sadu | sr |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
Appears in Collections: | PMF Teze/Theses |
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