Some properties of alternate duals and approximate alternate duals of fusion frames

DOI10.3906/mat-1507-37zbMath1424.42056arXiv1601.03024OpenAlexW2760715419MaRDI QIDQ4633360

Fahimeh Arabyani Neyshaburi, Ali Akbar Arefijamaal

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03024

zbMATH Keywords

fusion framesalternate dual fusion framesapproximate alternate dualsRiesz fusion bases

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items

A new look at optimal dual problem related to fusion frames, Approximately dual frames of vector‐valued nonstationary Gabor frames and reconstruction errors, The correspondence of Fusion frames and frames In Hilbert $C^*$-modules and finite Gabor Fusion frames, Manufacturing pairs of woven frames applying duality principle on Hilbert spaces, Weaving Hilbert space fusion frames, The invertibility of \(U\)-fusion cross Gram matrices of operators

Cites Work

• Unnamed Item
• On the Riesz fusion bases in Hilbert spaces
• Subfusion frames
• Dual fusion frames
• The duals of fusion frames for experimental data transmission coding of high energy physics
• Fusion frames and distributed processing
• Duality principles in frame theory
• Properties of finite dual fusion frames
• On the duality of fusion frames
• Approximate duality of g-frames in Hilbert spaces
• Frames and bases. An introductory course
• Approximately dual frame pairs in Hilbert spaces and applications to Gabor frames
• Distributed Sensor Networks