37 citations · 93 across the 18 of their papers we have counts for
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math.CA2014
Wavelet frames on Vilenkin groups and their approximation properties
Yuri A. Farkov, Elena A. Lebedeva, Maria A. Skopina
An explicit description of all Walsh polynomials generating tight wavelet frames is given. An algorithm for finding the corresponding wavelet functions is suggested, and a general…
math.FA2014
Multivariate exact and falsified sampling approximation
A. Krivoshein, M. Skopina
Approximation properties of the expansions , where is a matrix dilation, is either the sampled value of a signal at or…
math.CA2014
Walsh and wavelet methods for differential equations on the Cantor group
E. Lebedeva, M. Skopina
Ordinary and partial differential equation for unknown functions defined on the Cantor dyadic group are studied. We consider two types of equations: related to the Gibbs derivative…