CONSTRUCTION OF ORTHOGONAL COMPACTLY SUPPORTED WAVELETS WITH MATRIX SCALING COEFFICIENT
Abstract
In this paper the mode of construction of the big series orthogonal many-dimensional wavelets with matrix scaling coefficient and with compact support is received and sufficient conditions of orthogonality are established.
References
1. Добеши, И. Десять лекций по вейвлетам [Текст] / И. Добеши. - М. -Ижевск: РХД, 2001. - 464 с.
2. Смоленцев, Н. К. Введение в теорию вейвлетов [Текст] / Н. К. Смоленцев. - М. - Ижевск: РХД, 2010. - 292 с.
3. Jorgensen, P. E. T. Matrix Factorizations, Algorithms, Wavelets / P.E.T. Jorgensen // Notices Amer. Math. Soc. - 2003. - Vol. 50, no. 8. - P. 880-894. ([Электронный ресурс]. - Режим доступа: http://www.math.uiowa.edu/~jorgen/fea-jorgensen.pdf, свободный).
4. Podkur, P. N. About construction of orthogonal wavelets with compact support and with scaling coefficient N / P. N. Podkur, N. K. Smolentsev // [Электронный ресурс]. - Режим доступа: arXiv.org, arXiv:0705.4150v1 [math.FA], 2007, 15 P., свободный
Review
For citations:
Podkur P.N. CONSTRUCTION OF ORTHOGONAL COMPACTLY SUPPORTED WAVELETS WITH MATRIX SCALING COEFFICIENT. The Bulletin of Kemerovo State University. 2010;(4):84-89. (In Russ.)
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