18 citations · 40 across the 10 of their papers we have counts for
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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…
An inequality for a periodic uncertainty constant
Elena A. Lebedeva
An inequality refining the lower bound for a periodic (Breitenberger) uncertainty constant is proved for a wide class of functions. A connection of uncertainty constants for period…
On alternative wavelet reconstruction formula: a case study of approximate wavelets
Elena A. Lebedeva, Eugene B. Postnikov
The application of the continuous wavelet transform to study of a wide class of physical processes with oscillatory dynamics is restricted by large central frequencies due to the a…
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…