Multivariate box spline wavelets in higher-dimensional Sobolev spaces
Abstract We construct wavelets and derive a density condition of MRA in a higher-dimensional Sobolev space. We give necessary and sufficient conditions for orthonormality of wavelets in Hs(Rd) $H^{s}(\mathbb {R}^{d})$. We construct nonseparable orthonormal wavelets in a higher-dimensional Sobolev sp...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1839-z |
| _version_ | 1818468753153720320 |
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| author | Raj Kumar Manish Chauhan |
| author_facet | Raj Kumar Manish Chauhan |
| author_sort | Raj Kumar |
| collection | DOAJ |
| description | Abstract We construct wavelets and derive a density condition of MRA in a higher-dimensional Sobolev space. We give necessary and sufficient conditions for orthonormality of wavelets in Hs(Rd) $H^{s}(\mathbb {R}^{d})$. We construct nonseparable orthonormal wavelets in a higher-dimensional Sobolev space by using multivariate box spline. |
| first_indexed | 2024-04-13T21:15:25Z |
| format | Article |
| id | doaj.art-d41fb15171564988ba520cf0aa44efac |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-13T21:15:25Z |
| publishDate | 2018-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-d41fb15171564988ba520cf0aa44efac2022-12-22T02:29:42ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-09-012018111410.1186/s13660-018-1839-zMultivariate box spline wavelets in higher-dimensional Sobolev spacesRaj Kumar0Manish Chauhan1Department of Mathematics, Kirori Mal College, University of DelhiDepartment of Mathematics, University of DelhiAbstract We construct wavelets and derive a density condition of MRA in a higher-dimensional Sobolev space. We give necessary and sufficient conditions for orthonormality of wavelets in Hs(Rd) $H^{s}(\mathbb {R}^{d})$. We construct nonseparable orthonormal wavelets in a higher-dimensional Sobolev space by using multivariate box spline.http://link.springer.com/article/10.1186/s13660-018-1839-zWaveletsBox SplinesMultiresolution analysisSobolev space |
| spellingShingle | Raj Kumar Manish Chauhan Multivariate box spline wavelets in higher-dimensional Sobolev spaces Journal of Inequalities and Applications Wavelets Box Splines Multiresolution analysis Sobolev space |
| title | Multivariate box spline wavelets in higher-dimensional Sobolev spaces |
| title_full | Multivariate box spline wavelets in higher-dimensional Sobolev spaces |
| title_fullStr | Multivariate box spline wavelets in higher-dimensional Sobolev spaces |
| title_full_unstemmed | Multivariate box spline wavelets in higher-dimensional Sobolev spaces |
| title_short | Multivariate box spline wavelets in higher-dimensional Sobolev spaces |
| title_sort | multivariate box spline wavelets in higher dimensional sobolev spaces |
| topic | Wavelets Box Splines Multiresolution analysis Sobolev space |
| url | http://link.springer.com/article/10.1186/s13660-018-1839-z |
| work_keys_str_mv | AT rajkumar multivariateboxsplinewaveletsinhigherdimensionalsobolevspaces AT manishchauhan multivariateboxsplinewaveletsinhigherdimensionalsobolevspaces |