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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 1, Pages 135–146
(Mi timm210)
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This article is cited in 12 scientific papers (total in 12 papers)
2-adic wavelet bases
S. A. Evdokimova, M. A. Skopinab a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
Abstract:
Within the theory of multiresolution analysis, a method of constructing 2-adic wavelet systems that form Riesz bases in $L^2(\mathbb Q_2)$ is developed. An implementation of this method for some infinite family of multiresolution analyses leading to nonorthogonal Riesz bases is presented.
Keywords:
2-adic wavelets, multiresolution analysis, scaling function, Riesz base.
Received: 17.03.2008
Citation:
S. A. Evdokimov, M. A. Skopina, “2-adic wavelet bases”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 1, 2009, 135–146; Proc. Steklov Inst. Math. (Suppl.), 266, suppl. 1 (2009), S143–S154
Linking options:
https://www.mathnet.ru/eng/timm210 https://www.mathnet.ru/eng/timm/v15/i1/p135
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Abstract page: | 481 | Full-text PDF : | 108 | References: | 53 | First page: | 5 |
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