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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 346, Pages 26–38
(Mi znsl85)
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This article is cited in 2 scientific papers (total in 2 papers)
Wavelet decompositions on a manifold
Yu. K. Dem'yanovich, A. V. Zimin Saint-Petersburg State University
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 a wavelet decompositon
of a chain of embedded spaces of $B_\varphi$-splines of zero order on a smooth manifold.
Received: 01.12.2007
Citation:
Yu. K. Dem'yanovich, A. V. Zimin, “Wavelet decompositions on a manifold”, Computational methods and algorithms. Part XX, Zap. Nauchn. Sem. POMI, 346, POMI, St. Petersburg, 2007, 26–38; J. Math. Sci. (N. Y.), 150:2 (2008), 1929–1936
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https://www.mathnet.ru/eng/znsl85 https://www.mathnet.ru/eng/znsl/v346/p26
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Abstract page: | 216 | Full-text PDF : | 53 | References: | 31 |
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