Geodesic
Local wavelet basis for an irregular grid
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIX, Tome 334 (2006), pp. 84-110 
Yu. K. Dem'yanovich. Local wavelet basis for an irregular grid. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIX, Tome 334 (2006), pp. 84-110. http://geodesic.mathdoc.fr/item/ZNSL_2006_334_a6/
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     author = {Yu. K. Dem'yanovich},
     title = {Local wavelet basis for an irregular grid},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_334_a6/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The spaces of $\mathcal B_\varphi$-splines are proved to be embedded for an arbitrary grid refinement; the direct (wavelet) decomposition for chains of embedded spaces of $\mathcal B_\varphi$-splines on a sequence of refined irregular grids is discussed; a wavelet basis of functions with compact supports is constructed; formulas of decomposition and reconstruction are provided. Simple solutions of certain interpolation problems in the spaces considered are suggested. Examples of the spline spaces are presented.

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