2019/07/20 by Bhandari, Animesh, Borah, Debajit, Mukherjee, Saikat
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1907.08757
In distributed signal processing frames play significant role as redundant building blocks. Bemrose et. al. were motivated from this concept, as a result they introduced weaving frames in Hilbert space. Weaving frames have useful applications in sensor networks, likewise weaving K-frames have been proved to be useful during signal reconstructions from the range of a bounded linear operator K. This article focuses on study, characterization of weaving K-frames in different spaces. Paley-Wiener type perturbation and conditions on erasure of frame components have been assembled to scrutinize woven-ness of K- frames.