Construction of approximate dual wavelet frames

DOI10.1007/s10444-013-9307-2zbMath1322.65122OpenAlexW2076914775MaRDI QIDQ457680

Hans G. Feichtinger, Christoph Wiesmeyr, Darian Onchis-Moaca

Publication date: 29 September 2014

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

Full work available at URL: https://doi.org/10.1007/s10444-013-9307-2

zbMATH Keywords

wavelet framespseudo-inverseframe operatorapproximation dual wavelet framesrational dilation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) General harmonic expansions, frames (42C15) Harmonic analysis and almost periodicity in probabilistic number theory (11K70)

Related Items (11)

Characterization and stability of approximately dual g-frames in Hilbert spaces ⋮ Approximately dual Gabor frames and almost perfect reconstruction based on a class of window functions ⋮ Some properties of approximately dual frames in Hilbert spaces ⋮ Characterizations and Representations of H-S-Frames in Hilbert Spaces ⋮ Approximate oblique dual frames ⋮ Approximately dual frames of vector‐valued nonstationary Gabor frames and reconstruction errors ⋮ Unnamed Item ⋮ Dual and approximately dual Hilbert-Schmidt frames in Hilbert spaces ⋮ Approximately dual pairs of wavelet frames ⋮ Making and Sharing K-Dual Frame Pairs ⋮ Some properties of canonical dual \(K\)-Bessel sequences for Parseval \(K\)-frames

Cites Work

• Unnamed Item
• Unnamed Item
• Banach spaces related to integrable group representations and their atomic decompositions. I
• Theory, implementation and applications of nonstationary Gabor frames
• Constructive realization of dual systems for generators of multi-window spline-type spaces
• Coorbit spaces and Banach frames on homogeneous spaces with applications to the sphere
• Foundations of time-frequency analysis
• Periodic wavelet frames
• The canonical dual frame of a wavelet frame
• Generalized inverses. Theory and applications.
• Irregular wavelet/Gabor frames
• The canonical and alternate duals of a wavelet frame
• Approximately dual frame pairs in Hilbert spaces and applications to Gabor frames
• Ten Lectures on Wavelets
• An introduction to frames and Riesz bases

This page was built for publication: Construction of approximate dual wavelet frames