Geodesic
2-adic wavelet bases
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 1, pp. 135-146 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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S. A. Evdokimov; M. A. Skopina. 2-adic wavelet bases. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 1, pp. 135-146. http://geodesic.mathdoc.fr/item/TIMM_2009_15_1_a10/

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