A. Krivoshein

collaborators

2 papers

math.FA2014

Symmetric interpolatory dual wavelet frames

A. V. Krivoshein

For any symmetry group $H$ and any appropriate matrix dilation we give an explicit method for the construction of $H$ -symmetric refinable interpolatory refinable masks which satisf…

math.FA2014

Multivariate exact and falsified sampling approximation

A. Krivoshein, M. Skopina

Approximation properties of the expansions $\sum_{k \in z^{d}} c_{k} ϕ (M^{j} x + k)$ , where $M$ is a matrix dilation, $c_{k}$ is either the sampled value of a signal $f$ at $M^{- j} k$ or…