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Wavelet decompositions on a manifold
Authors:Yu K Demjanovich  A V Zimin
Institution:(1) St.Petersburg State University, St.Petersburg, Russia
Abstract: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 the wavelet decompositon of a chain of embedded spaces of the B φ-splines of zero order on a smooth manifold. Bibliography: 6 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 346, 2007, pp. 26–38.
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