Geodesic
Spline-wavelets in the case of a single local coarsening of the grid
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXV, Tome 405 (2012), pp. 97-118 
Yu. K. Dem'yanovich. Spline-wavelets in the case of a single local coarsening of the grid. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXV, Tome 405 (2012), pp. 97-118. http://geodesic.mathdoc.fr/item/ZNSL_2012_405_a7/
@article{ZNSL_2012_405_a7,
     author = {Yu. K. Dem'yanovich},
     title = {Spline-wavelets in the case of a~single local coarsening of the grid},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {97--118},
     year = {2012},
     volume = {405},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_405_a7/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The structure of the spline-wavelet decomposition in the case of a single local coarsening of a grid is discussed. Algorithms of decomposition and reconstruction are obtained. The wavelet flow is evaluated in the case where the initial flow is generated by a smooth function.

[1] Yu. K. Demyanovich, I. D. Miroshnichenko, “Gnezdovye splain-veivletnye razlozheniya”, Problemy mat. analiza, 64, 2012, 51–61 | MR | Zbl

[2] Yu. K. Demyanovich, “Interferentsiya v splain-veivletnykh razlozheniyakh”, Problemy mat. analiza, 66, 2012, 89–100 | MR | Zbl

[3] Yu. K. Dem'yanovich, “Embedding of non-polynomial spline spaces”, Math. Sci., 6:28 (2012) | DOI | MR | Zbl