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 |
| Published: |
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 |