2 citations · 2 across the 8 of their papers we have counts for
5 papers · 1 filter
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 ,…
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…
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…
On construction of multivariate symmetric MRA-based wavelets
A. Krivoshein
For an arbitrary matrix dilation, any integer n and any integer/semi-integer c, we describe all masks that are symmetric with respect to the point c and have sum rule of order n. F…