Supports of Fourier transforms of scaling functions

DOI10.1016/j.acha.2006.05.007zbMath1203.42008OpenAlexW2013782475MaRDI QIDQ869645

Zhi Hua Zhang

Publication date: 8 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.acha.2006.05.007

zbMATH Keywords

multiresolution analysissupportscaling function

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15)

Related Items (12)

FOURIER SUPPORTS OF SCALING FUNCTIONS DETERMINE CARDINALITIES OF WAVELETS ⋮ Frame scaling function sets and frame wavelet sets in \(\mathbb{R}^d\) ⋮ Geometric structures of frequency domains of band-limited scaling functions and wavelets ⋮ Construction of three interval frame scaling sets ⋮ Fractional multiresolution analysis and associated scaling functions in \(L^2(\mathbb{R})\) ⋮ ON THE CHARACTERIZATION OF SCALING FUNCTIONS ON NON-ARCHEMEDEAN FIELDS ⋮ Supports of Fourier transforms of refinable frame functions and their applications to FMRA ⋮ Local analysis, cardinality, and Split trick of quasi-biorthogonal frame wavelets ⋮ Ring-like structures of frequency domains of wavelets ⋮ On scaling functions of non-uniform multiresolution analysis in L2(ℝ) ⋮ On the construction of band-limited wavelets with the Prouhet-Thue-Morse sequence ⋮ Average densities of frequency bands of wavelets

Cites Work

• Translation and dilation invariance in orthogonal wavelets
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
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