E-frames multipliers

2025/03/02 by H. Hedayatirad, Hedayatirad, Hassan, T. L. Shateri +1
Computer Science · #42C15 #54D55 #Digital Filter Design and Implementation #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2503.00756

openalex publication_date 2025/03/02 · openalex created_date 2025/10/12 · openalex updated_date 2026/07/28

Abstract

This article is dedicated to investigating some notions related to E-frames and multipliers. E-frames are a new generalization for the concept of frames for H, where E is an infinite invertible complex matrix mapping on \bigoplus_n=1^∞H. A Multiplier is an operator that combines (frame-like) analysis, multiplication with a fixed sequence, called the symbol, and synthesis. Firstly, we try to reintroduce the operators associated with E-frames in terms of the frame's analysis and synthesis operators, under certain conditions. Secondly, we define the notion of E-multiplier and investigate some results.

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