A note on finite dual frame pairs

DOI10.1090/S0002-9939-2012-11256-0zbMath1365.42023OpenAlexW2040230121MaRDI QIDQ2846746

Ole Christensen, Alexander M. Powell, Xiang Chun Xiao

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11256-0

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (8)

Binary frames with prescribed dot products and frame operator ⋮ Linearly connected sequences and spectrally optimal dual frames for erasures ⋮ Equiangular frames and generalizations of the Welch bound to dual pairs of frames ⋮ Decompositions of \(g\)-frames and duals and pseudoduals of \(g\)-frames in Hilbert spaces ⋮ Uniform excess frames in Hilbert spaces ⋮ Critical Pairs of Sequences of a Mixed Frame Potential ⋮ OBLIQUE DUAL FRAMES IN FINITE-DIMENSIONAL HILBERT SPACES ⋮ Equiangular Frames and Their Duals

Cites Work

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• Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\)
• Finite normalized tight frames
• Equal-norm tight frames with erasures
• Sobolev duals for random frames and \(\varSigma \varDelta \) quantization of compressed sensing measurements
• Sigma-delta (/spl Sigma//spl Delta/) quantization and finite frames
• On general frame decompositions
• An introduction to frames and Riesz bases
• Quantized frame expansions with erasures

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