2 citations · 2 across the 8 of their papers we have counts for
8 papers
Approximation by quasi-projection operators and dual wavelet frames in Sobolev spaces
Danila Kotov, Aleksandr Krivoshein
For a quasi-projection operator formed by a compactly supported function and a compactly supported distribution with dilation matrix ,…
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 and a sequence of d…
From Frame-like Wavelets to Wavelet Frames keeping approximation properties and symmetry
A. V. Krivoshein
For a given symmetric refinable mask obeying the sum rule of order , an explicit method is suggested for the construction of mutually symmetric almost frame-like wavelet system…
Differential and falsified sampling expansions
Yu. Kolomoitsev, A. Krivoshein, M. Skopina
Differential and falsified sampling expansions , where is a matrix dilation, are studied. In the case of differential expansions, $c_k=Lf(…
Symmetric interpolatory dual wavelet frames
A. V. Krivoshein
For any symmetry group and any appropriate matrix dilation we give an explicit method for the construction of -symmetric refinable interpolatory refinable masks which satisf…
Multivariate exact and falsified sampling approximation
A. Krivoshein, M. Skopina
Approximation properties of the expansions , where is a matrix dilation, is either the sampled value of a signal at or…