Geodesic
Wavelet decompositions on a manifold
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XX, Tome 346 (2007), pp. 26-38 Cet article a éte moissonné depuis la source Math-Net.Ru

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A general method for constructing chains of embedded spline spaces on a smooth (not necessarily compact) manifold is suggested. A wavelet decomposition is obtained for the case of an arbitrary vector space. The results are illustrated by constructing a wavelet decompositon of a chain of embedded spaces of $B_\varphi$-splines of zero order on a smooth manifold. 
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Yu. K. Dem'yanovich; A. V. Zimin. Wavelet decompositions on a manifold. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XX, Tome 346 (2007), pp. 26-38. http://geodesic.mathdoc.fr/item/ZNSL_2007_346_a2/

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