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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Demjanovich, Y.K., Zimin, A.V. Wavelet decompositions on a manifold. J Math Sci 150, 1929–1936 (2008). https://doi.org/10.1007/s10958-008-0107-z
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DOI: https://doi.org/10.1007/s10958-008-0107-z