Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels
| creativeworkseries.issn | 1232-9274 | |
| dc.contributor.author | Castro, Luís P. | |
| dc.contributor.author | Saitoh, Saburou | |
| dc.contributor.author | Nguyen, Minh Tuan | |
| dc.date.available | 2017-10-03T06:38:40Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | This paper introduces a general concept of convolutions by means of the theory of reproducing kernels which turns out to be useful for several concrete examples and applications. Consequent properties are exposed (including, in particular, associated norm inequalities). | en |
| dc.description.version | wersja wydawnicza | |
| dc.identifier.doi | http://dx.doi.org/10.7494/OpMath.2012.32.4.633 | |
| dc.identifier.eissn | 2300-6919 | |
| dc.identifier.issn | 1232-9274 | |
| dc.identifier.nukat | dd2014312001 | |
| dc.identifier.uri | https://repo.agh.edu.pl/handle/AGH/50405 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Opuscula Mathematica | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.access | otwarty dostęp | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/legalcode | |
| dc.subject | Hilbert space | en |
| dc.subject | linear transform | en |
| dc.subject | reproducing kernel | en |
| dc.subject | linear mapping | en |
| dc.subject | convolution | en |
| dc.subject | norm inequality | en |
| dc.subject | integral equation | en |
| dc.subject | Tikhonov regularization | en |
| dc.title | Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels | en |
| dc.title.related | Opuscula Mathematica | |
| dc.type | artykuł | |
| dspace.entity.type | Publication | |
| publicationissue.issueNumber | No. 4 | |
| publicationissue.pagination | pp. 633-646 | |
| publicationvolume.volumeNumber | Vol. 32 | |
| relation.isJournalIssueOfPublication | 722c89f9-e6c1-4ab5-bba7-2c7de1fc6501 | |
| relation.isJournalIssueOfPublication.latestForDiscovery | 722c89f9-e6c1-4ab5-bba7-2c7de1fc6501 | |
| relation.isJournalOfPublication | 304b3b9b-59b9-4830-9178-93a77e6afbc7 |
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