A. Krivoshein

activity

20072026

most citedDifferential and falsified sampling expansions

2 citations · 2 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.CA2020

Approximation by periodic multivariate quasi-projection operators

Yu. Kolomoitsev, A. Krivoshein, M. Skopina

Approximation properties of periodic quasi-projection operators with matrix dilations are studied. Such operators are generated by a sequence of functions $φ_{j}$ and a sequence of d…

math.CA2017★ 2 cited

Differential and falsified sampling expansions

Yu. Kolomoitsev, A. Krivoshein, M. Skopina

Differential and falsified sampling expansions $\sum_{k \in Z^{d}} c_{k} ϕ (M^{j} x + k)$ , where $M$ is a matrix dilation, are studied. In the case of differential expansions, $c_k=Lf(…

math.CA2007

Multivariate Wavelet Frames

M. Skopina

We proved that for any matrix dilation and for any positive integer $n$ , there exists a compactly supported tight wavelet frame with approximation order $n$ . Explicit methods for c…