Nested spline–wavelet decompositions
We consider conditions for embedding of (generally speaking, discontinuous and nonpolynomial) spline spaces obtained by a removal of grid points (nests). For such spaces we present the wavelet decomposition, construct the embedding and extension matrices, and derive the corresponding decomposition a...
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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2012-07, Vol.184 (3), p.282-294 |
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| container_end_page | 294 |
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| container_issue | 3 |
| container_start_page | 282 |
| container_title | Journal of mathematical sciences (New York, N.Y.) |
| container_volume | 184 |
| creator | Dem’yanovich, Yu. K. Miroshnichenko, I. D. |
| description | We consider conditions for embedding of (generally speaking, discontinuous and nonpolynomial) spline spaces obtained by a removal of grid points (nests). For such spaces we present the wavelet decomposition, construct the embedding and extension matrices, and derive the corresponding decomposition and reconstruction formulas. We also consider the decomposition and restoration operators in spaces of finite sequences (flows). Bibliography: 1 title. |
| doi_str_mv | 10.1007/s10958-012-0868-2 |
| format | Article |
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| identifier | ISSN: 1072-3374 |
| ispartof | Journal of mathematical sciences (New York, N.Y.), 2012-07, Vol.184 (3), p.282-294 |
| issn | 1072-3374 1573-8795 |
| language | eng |
| recordid | cdi_gale_infotracmisc_A380946394 |
| source | SpringerNature Journals |
| subjects | Mathematics Mathematics and Statistics |
| title | Nested spline–wavelet decompositions |
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