7 citations · 18 across the 5 of their papers we have counts for
5 papers
-Adic multiresolution analyses
S. Albeverio, S. Evdokimov, M. Skopina
We study -adic multiresolution analyses (MRAs). A complete characterisation of test functions generating a MRA (scaling functions) is given. We prove that only 1-periodic test f…
-Adic multiresolution analysis and wavelet frames
S. Albeverio, S. Evdokimov, M. Skopina
We study -adic multiresolution analyses (MRAs). A complete characterisation of test functions generating MRAs (scaling functions) is given. We prove that only 1-periodic test fu…
-Adic Haar multiresolution analysis and pseudo-differential operators
V. M. Shelkovich, M. Skopina
The notion of {\em -adic multiresolution analysis (MRA)} is introduced. We discuss a ``natural'' refinement equation whose solution (a refinable function) is the characteristic…
Multivariate Wavelet Frames
M. Skopina
We proved that for any matrix dilation and for any positive integer , there exists a compactly supported tight wavelet frame with approximation order . Explicit methods for c…
-Adic Haar multiresolution analysis
V. M. Shelkovich, M. Skopina
In this paper, the notion of {\em -adic multiresolution analysis (MRA)} is introduced. We use a ``natural'' refinement equation whose solution (a refinable function) is the char…