Nonstationary tight wavelet frames. II: Unbounded intervals

DOI10.1016/j.acha.2004.09.004zbMath1067.42022OpenAlexW2161780220MaRDI QIDQ1765949

Joachim Stöckler, Wenjie He, Charles K. Chui

Publication date: 23 February 2005

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2004.09.004

zbMATH Keywords

kernel operatortight frameapproximate dualnonstationary frameunbounded interval frame

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (22)

Nonstationary tight wavelet frames. I: Bounded intervals ⋮ Structured function systems and applications. Abstracts from the workshop held February 24 -- March 2, 2013. ⋮ Tight frames of compactly supported multivariate multi-wavelets ⋮ Wavelet bi-frames with uniform symmetry for curve multiresolution processing ⋮ Nonhomogeneous wavelet systems in high dimensions ⋮ Semi-regular Dubuc-Deslauriers wavelet tight frames ⋮ Tight wavelet frames via semi-definite programming ⋮ Tight wavelet frames for irregular multiresolution analysis ⋮ Extension principles for tight wavelet frames of periodic functions ⋮ Wavelets centered on a knot sequence: theory, construction, and applications ⋮ Tight periodic wavelet frames and approximation orders ⋮ Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space ⋮ Wiener's lemma for infinite matrices with polynomial off-diagonal decay ⋮ Hybrid spline frames ⋮ Stability criterion for convolution-dominated infinite matrices ⋮ Optimal Hölder-Zygmund exponent of semi-regular refinable functions ⋮ Dual multiwavelet frames with high balancing order and compact fast frame transform ⋮ Pseudo box splines ⋮ Stability of localized operators ⋮ Constructing tight frames of multivariate functions ⋮ A characterization of nonhomogeneous wavelet bi-frames for reducing subspaces of Sobolev spaces ⋮ Wiener’s lemma for infinite matrices

Cites Work

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• Regularity of irregular subdivision
• Approximation of distribution spaces by means of kernel operators
• Compactly supported tight and sibling frames with maximum vanishing moments
• Framelets: MRA-based constructions of wavelet frames
• Nonstationary tight wavelet frames. I: Bounded intervals
• Order of linear approximation from shift-invariant spaces
• Inverses of Band Matrices and Local Convergence of Spline Projections
• Tight wavelet frames generated by three symmetric $B$-spline functions with high vanishing moments
• Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation

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