English

Characterizations of Weaving K-frames

Functional Analysis 2019-12-03 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1907.08757,
  title  = {Characterizations of Weaving K-frames},
  author = {Animesh Bhandari and Debajit Borah and Saikat Mukherjee},
  journal= {arXiv preprint arXiv:1907.08757},
  year   = {2019}
}

Comments

9 pages

R2 v1 2026-06-23T10:25:49.535Z