On weaving Hilbert space frames and Riesz bases

Publications

On weaving Hilbert space frames and Riesz bases

Year : 2025

Publisher : Cambridge University Press

Source Title : Canadian Mathematical Bulletin

Document Type :

Abstract

Two frames fn∞n=1 and gn∞n=1 in a separable Hilbert space H are said to be weaving frames, if for every s σ N, fnnσ Ugnneσ is a frame for H. Weaving frames are proved to be very useful in many areas, such as, distributed processing, wireless sensor networks, packet encoding and many more. Inspired by the work of Bemrose et al.[11], this paper delves into the properties and characterizations of weaving frames and weaving Riesz bases.