Articles with "approximately dual" as a keyword



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The effect of perturbations of frames on their alternate and approximately dual frames

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Published in 2021 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.7905

Abstract: Approximately dual frames as a generalization of duality notion in Hilbert spaces have applications in Gabor systems, wavelets, coorbit theory and sensor modeling. In recent years, the computing of the associated deviations of the canonical… read more here.

Keywords: psi psi; dual frames; effect perturbations; alternate approximately ... See more keywords
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Approximately dual pairs of wavelet frames

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Published in 2021 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2021.125841

Abstract: This paper deals with structural issues concerning wavelet frames and their dual frames. It is known that there exist wavelet frames {aj/2ψ(aj · −kb)}j,k∈Z in L2(R) for which no dual frame has wavelet structure. We… read more here.

Keywords: dual frame; frames approximately; wavelet; wavelet frames ... See more keywords