Positive Weight Function and Classification of g-Frames. (10th June 2020)

• Record Type: Journal Article
• Authors: Poria, Anirudha
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 8(2020)
• Page Start: 950
• Page End: 968
• Publication Date: 2020-06-10
• Subjects: g-frames -- g-Riesz bases -- Heisenberg group -- shift-invariant subspaces -- weight function; 42C15 -- 43A80; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2020.1728771
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: Given a positive weight function and an isometry map on a Hilbert spaces H, we study a class of linear maps which is a g -frame, g -Riesz basis, and a g -orthonormal basis for H with respect to C in terms of the weight function. We apply our results to study the frame for shift-invariant subspaces on the Heisenberg group.