untitled
<OAI-PMH schemaLocation=http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd>
<responseDate>2018-01-15T15:43:42Z</responseDate>
<request identifier=oai:HAL:hal-00019916v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request>
<GetRecord>
<record>
<header>
<identifier>oai:HAL:hal-00019916v1</identifier>
<datestamp>2017-12-21</datestamp>
<setSpec>type:ART</setSpec>
<setSpec>subject:math</setSpec>
<setSpec>collection:INSMI</setSpec>
<setSpec>collection:BNRMI</setSpec>
<setSpec>collection:UNIV-AG</setSpec>
</header>
<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Kernel Theorems in Spaces of Tempered Generalized Functions</title>
<creator>Delcroix, Antoine</creator>
<contributor>Analyse Optimisation Controle (AOC) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>15 pages</description>
<description>International audience</description>
<source>Math. Proc. Camb. Philos. Soc.</source>
<identifier>hal-00019916</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00019916</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00019916/document</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00019916/file/KernelSADelcroixfeb7th.pdf</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00019916</source>
<source>Math. Proc. Camb. Philos. Soc., 2007, 142 (3), pp.557-572. 〈10.1017/S0305004107000011〉</source>
<identifier>ARXIV : math.FA/0603035</identifier>
<relation>info:eu-repo/semantics/altIdentifier/arxiv/math.FA/0603035</relation>
<identifier>DOI : 10.1017/S0305004107000011</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1017/S0305004107000011</relation>
<language>en</language>
<subject lang=en>kernel Theorem</subject>
<subject lang=en>Colombeau temperate generalized functions</subject>
<subject lang=en>integral operator</subject>
<subject lang=en>temperate distributions</subject>
<subject>45P05; 46F05; 46F30; 47G10</subject>
<subject>[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>In analogy to the classical isomorphism between $mathcal{L}left( mathcal{S}left( mathbb{R}^{n}right) ,mathcal{S}^{prime}left( mathbb{R}^{m}right) right) $ and $mathcal{S}^{prime}left( mathbb{R}^{n+m}right) $, we show that a large class of moderate linear mappings acting between the space $mathcal{G}_{mathcal{S}}left( mathbb{R}^{n}right) $ of Colombeau rapidly decreasing generalized functions and the space $mathcal{G}_{ au}left( mathbb{R}^{n}right) $ of temperate ones admits generalized integral representations, with kernels belonging to $mathcal{G}_{ au}left( mathbb{R}^{n+m}right) $. Furthermore, this result contains the classical one in the sense of the generalized distribution equality.</description>
<date>2007</date>
<rights>info:eu-repo/semantics/OpenAccess</rights>
</dc>
</metadata>
</record>
</GetRecord>
</OAI-PMH>
