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Consistent Sampling Approximations in Abstract Hilbert Spaces
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kang, Sinuk | - |
| dc.contributor.author | Kwon, Kil Hyun | - |
| dc.contributor.author | Lee, Dae Gwan | - |
| dc.date.accessioned | 2024-08-09T06:30:23Z | - |
| dc.date.available | 2024-08-09T06:30:23Z | - |
| dc.date.issued | 2024-07 | - |
| dc.identifier.issn | 2075-1680 | - |
| dc.identifier.issn | 2075-1680 | - |
| dc.identifier.uri | https://scholarworks.bwise.kr/kumoh/handle/2020.sw.kumoh/28858 | - |
| dc.description.abstract | This paper considers generalized consistent sampling and reconstruction processes in an abstract separable Hilbert space. Using an operator-theoretical approach, quasi-consistent and consistent approximations with optimal properties, such as possessing the minimum norm or being closest to the original vector, are derived. The results are illustrated with several examples. | - |
| dc.language | 영어 | - |
| dc.language.iso | ENG | - |
| dc.publisher | MDPI | - |
| dc.title | Consistent Sampling Approximations in Abstract Hilbert Spaces | - |
| dc.type | Article | - |
| dc.publisher.location | 스위스 | - |
| dc.identifier.doi | 10.3390/axioms13070489 | - |
| dc.identifier.wosid | 001276567300001 | - |
| dc.identifier.bibliographicCitation | AXIOMS, v.13, no.7 | - |
| dc.citation.title | AXIOMS | - |
| dc.citation.volume | 13 | - |
| dc.citation.number | 7 | - |
| dc.type.docType | Article | - |
| dc.description.isOpenAccess | Y | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
| dc.subject.keywordAuthor | consistent sampling | - |
| dc.subject.keywordAuthor | generalized sampling | - |
| dc.subject.keywordAuthor | oblique projection | - |
| dc.subject.keywordAuthor | frame | - |
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