Approximately dual and perturbation results for generalized translation-invariant frames on LCA groups

DOI10.1142/S0219691318500170zbMath1390.42045OpenAlexW2771468358MaRDI QIDQ4564910

Yavar Khedmati, Mads Sielemann Jakobsen

Publication date: 7 June 2018

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691318500170

zbMATH Keywords

frames\(g\)-framesperturbation of framesapproximately dual framesgeneralized translation-invariant systems

Mathematics Subject Classification ID

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

Related Items (5)

\(\boldsymbol{G}\)-duals of continuous \(\boldsymbol{G}\)-frames and their perturbations ⋮ Approximately dual frames of vector‐valued nonstationary Gabor frames and reconstruction errors ⋮ Invertibility of Multipliers for Continuous G-frames ⋮ Properties of bounded representations for \(G\)-frames ⋮ G-frame representations with bounded operators

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• Reproducing formulas for generalized translation invariant systems on locally compact abelian groups
• Approximately dual frame pairs in Hilbert spaces and applications to Gabor frames
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases

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