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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2008, Volume 8, Issue 4, Pages 49–59 (Mi vngu307)  
This article is cited in 1 scientific paper (total in 1 paper)

On an Example of Using the Sobolev Quadrature Formulas in Wavelet Theory

E. V. Mishchenkoab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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Abstract: It is shown that Zhamalov’s polynomials give rise to Battle–Lemarie wavelets of arbitrary order; moreover, the Franklin system is not the Battle–Lemarie wavelet of order 1. Symmetry of the scaling functions and wavelets of arbitrary order in the Battle–Lemarie construction is proven.
Received: 17.04.2008
Document Type: Article
UDC: 517.518.34+36
Language: Russian
Citation: E. V. Mishchenko, “On an Example of Using the Sobolev Quadrature Formulas in Wavelet Theory”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 8:4 (2008), 49–59
Citation in format AMSBIB
\Bibitem{Mis08}
\by E.~V.~Mishchenko
\paper On an Example of Using the Sobolev Quadrature Formulas in Wavelet Theory
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2008
\vol 8
\issue 4
\pages 49--59
\mathnet{http://mi.mathnet.ru/vngu307}
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