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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
ORCID:
Education: PhD.
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Faculty: 1
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Research

Title
Woven Frames and Their Multiplier in Hilbert Spaces
Type
JournalPaper
Keywords
woven frame, multiplier of frames, perturbation, Hilbert-Schmidt
Year
2022
Journal Azerbaijan Journal of Mathematics
DOI
Researchers Asghar Rahimi ، Sara Basati ، Bayaz Daraby

Abstract

Multipliers are operators which have important applications for signal processing and acoustics. Also, woven and weaving Bessel sequences and frames are very important and practical tools in the applications of frames. In this study, we define the notion of multiplier for woven and weaving frames and we show that the properties of multiplier continuously depend on the chosen symbol sequence m and two chosen woven Bessel sequences. Further, we study the stability of woven frames under perturbation and its connection with multipliers.