Dimension invariance of finite frames of translates and Gabor frames

DOI10.1007/s10444-011-9222-3zbMath1254.42039OpenAlexW2055118249MaRDI QIDQ1928071

Shidong Li, Jameson Cahill

Publication date: 2 January 2013

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-011-9222-3

zbMATH Keywords

dual framesframesGabor framesframe representationsframe expansionsdimension invariancemulti-Gabor expansionsmulti-variable vector space

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) General harmonic expansions, frames (42C15)

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Vector-valued weak Gabor dual frames on discrete periodic sets

Cites Work

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• Frame fundamental sensor modeling and stability of one-sided frame perturbation
• The theory of multiresolution analysis frames and applications to filter banks
• Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
• Gabor analysis and algorithms. Theory and applications
• Foundations of time-frequency analysis
• Tight frame approximation for multi-frames and super-frames
• Pseudoframes for subspaces with applications
• Proportional nonuniform multi-Gabor expansions
• Ten Lectures on Wavelets
• Discrete multi-Gabor expansions
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• On general frame decompositions
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases