Nested spline–wavelet decompositions

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
Hauptverfasser: Dem’yanovich, Yu. K., Miroshnichenko, I. D.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-012-0868-2