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math.FA2020★ 1 cited
The spaces of dyadic distributions
Vladimir Protasov, Mikhail Karapetyants
In this paper subdivision schemes, which are used for functions approximation and curves generation, are considered. In classical case, for the functions defined on the real line,…
math.FA2020
Self-affine 2-attractors and tiles
Vladimir Yu. Protasov, Tatyana Zaitseva
We study two-digit attractors (2-attractors) in which are self-affine compact sets defined by two contraction affine mappings with the same linear part. They are wid…