Wavelet decompositions on a manifold |
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Authors: | Yu K Demjanovich A V Zimin |
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Institution: | (1) St.Petersburg State University, St.Petersburg, Russia |
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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.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 346, 2007, pp. 26–38. |
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Keywords: | |
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