A special type of multiresolution analysis

DOI10.1007/S41478-021-00382-XOpenAlexW4224063683MaRDI QIDQ2093836

Yanyan Li

Publication date: 27 October 2022

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-021-00382-x

zbMATH Keywords

Haar Vilenkin wavelet filterHaar-type Vilenkin systemHaar-Vilenkin multiresolution analysis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15) Lacunary series of trigonometric and other functions; Riesz products (42A55) Analysis on specific locally compact and other abelian groups (43A70)

Cites Work

• Nonuniform multiresolution analyses and spectral pairs
• WAVELETS ASSOCIATED WITH NONUNIFORM MULTIRESOLUTION ANALYSIS ON POSITIVE HALF-LINE
• Orthogonal wavelets with compact support on locally compact Abelian groups
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Vector-Valued Nonuniform Wavelet Packets
• Wavelets associated with vector-valued nonuniform multiresolution analysis
• An introduction to frames and Riesz bases
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