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https://open.uns.ac.rs/handle/123456789/3143
Pоljе DC-а | Vrеdnоst | Јеzik |
---|---|---|
dc.contributor.author | Jakšić, Smiljana | en_US |
dc.contributor.author | Pilipović, Stevan | en_US |
dc.contributor.author | Prangoski, Bojan | en_US |
dc.date.accessioned | 2019-09-23T10:25:57Z | - |
dc.date.available | 2019-09-23T10:25:57Z | - |
dc.date.issued | 2017-07-01 | - |
dc.identifier.issn | 15787303 | en_US |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/3143 | - |
dc.description.abstract | © 2016, Springer-Verlag Italia. The first part of the paper is devoted to the G-type spaces i.e. the spaces Gαα(R+d), α≥ 1 and their duals which can be described as analogous to the Gelfand-Shilov spaces and their duals but with completely new justification of obtained results. The Laguerre type expansions of the elements in Gαα(R+d), α≥ 1 and their duals characterise these spaces through the exponential and sub-exponential growth of coefficients. We provide the full topological description and by the nuclearity of Gαα(R+d), α≥ 1 the kernel theorem is proved. The second part is devoted to the class of the Weyl operators with radial symbols belonging to the G-type spaces. The continuity properties of this class of pseudo-differential operators over the Gelfand-Shilov type spaces and their duals are proved. In this way the class of the Weyl pseudo-differential operators is extended to the one with the radial symbols with the exponential and sub-exponential growth rate. | en |
dc.relation.ispartof | Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas | en |
dc.title | G-type spaces of ultradistributions over R+d and the Weyl pseudo-differential operators with radial symbols | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.doi | 10.1007/s13398-016-0313-3 | - |
dc.identifier.scopus | 2-s2.0-85020407709 | - |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/85020407709 | - |
dc.description.version | Unknown | en_US |
dc.relation.lastpage | 640 | en |
dc.relation.firstpage | 613 | en |
dc.relation.issue | 3 | en |
dc.relation.volume | 111 | en |
item.fulltext | No Fulltext | - |
item.grantfulltext | none | - |
crisitem.author.dept | Departman za matematiku i informatiku | - |
crisitem.author.orcid | 0000-0002-5443-4467 | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
Nаlаzi sе u kоlеkciјаmа: | PMF Publikacije/Publications |
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