On the relation of the frame-related operators of fusion frame systems

DOI10.1007/s43670-023-00049-7OpenAlexW4319720335MaRDI QIDQ2700164

Yanyan Li

Publication date: 20 April 2023

Published in: Sampling Theory, Signal Processing, and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.15129

zbMATH Keywords

block diagonal operatorsframe-related operatorsfusion frame systemsHilbert direct sums

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Representation theory of linear operators (47A67)

Cites Work

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• Dual fusion frames
• Theory, implementation and applications of nonstationary Gabor frames
• Fusion frames and distributed processing
• Differentiation and the Balian-Low theorem
• Foundations of time-frequency analysis
• The invertibility of \(U\)-fusion cross Gram matrices of operators
• Properties of finite dual fusion frames
• Interlacing families. II: Mixed characteristic polynomials and the Kadison-Singer problem
• On the duality of fusion frames
• Classification of General Sequences by Frame-Related Operators
• Frames and the Feichtinger conjecture
• Compressed Sensing and Redundant Dictionaries
• Painless nonorthogonal expansions
• The effect of perturbations of operator-valued frame sequences and fusion frames on their duals
• Oblique Dual Fusion Frames
• On the Feichtinger Conjecture
• Theory of Reproducing Kernels
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases

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