Cross-Frame Potential. (1st November 2022)

• Record Type: Journal Article
• Authors: Aceska, Roza; Kaczanowski, McKenna
• Is Part Of: Numerical functional analysis and optimization. Volume 43:Number 15(2022)
• Page Start: 1707
• Page End: 1731
• Publication Date: 2022-11-01
• Subjects: Canonical dual frame -- cross-frame potential -- finite frame; 42C15 -- 42C99; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2022.2128818
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: We study a cross-frame potential function, which appraises the cross correlation between a frame and its dual. We analyze this new function to determine what information the cross-frame potential value can reveal about the relationship between the two frames. We also define a cross frame potential function for fusion frames, and study its properties for special types of fusion frames.