Partial affine system–based frames and dual frames
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4503
Abstract: In this paper, we introduce the notion of partial affine system that is a subset of an affine system. It has potential applications in signal analysis. A general affine system has been extensively studied; however,… read more here.
Keywords: dual frames; system; partial affine; system based ... See more keywords
The effect of perturbations of frames on their alternate and approximately dual frames
Sign Up to like & getrecommendations! 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
Seismic performance and cost comparison of RC moment resisting and dual frames using UBC 97 and IBC 2021
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DOI: 10.1038/s41598-024-67373-3
Abstract: The transition from the Uniform Building Code (UBC-97) to the International Building Code (IBC-21) marked a major shift in the definition of seismic hazard. The term “seismic hazard” in the form of peak ground acceleration… read more here.
Keywords: ibc; resisting dual; performance; dual frames ... See more keywords
Characterization and Construction of Approximate Q-Oblique Dual g-Frames
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DOI: 10.1080/01630563.2024.2432599
Abstract: Abstract Due to its significance in reconstructing signals, the theory of dual frames has attracted the interest of many mathematicians. In this paper, we introduce the concept of approximate Q-oblique dual g-frames. We characterize the… read more here.
Keywords: dual frames; oblique dual; approximate oblique; dual frame ... See more keywords
Tensor product dual frames
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2034-6
Abstract: To construct dual frames with good structure for a given frame is a fundamental problem in the theory of frames. The tensor product duals of tensor product frames can provide a rank-one decomposition of bounded… read more here.
Keywords: dual frames; product frames; frames tensor; tensor product ... See more keywords