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math.CA2008★ 6 cited
-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…
math.CA2007
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…