From scaling sets to scaling functions

DOI10.1016/j.acha.2011.05.002zbMath1242.42036OpenAlexW2085510091MaRDI QIDQ412404

Srđan Maksimović

Publication date: 4 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.acha.2011.05.002

zbMATH Keywords

multiresolution analysiswaveletscaling functionscaling set

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Cites Work

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• Basic properties of wavelets
• Wavelet sets in \(\mathbb{R}^ n\)
• On multiresolution analysis (MRA) wavelets in \(\mathbb{R}^n\)
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• Generalized multi-resolution analyses and a construction procedure for all wavelet sets in \(\mathbb{R}^n\)
• On the existence of multiresolution analysis for framelets
• Wandering vectors for unitary systems and orthogonal wavelets
• A characterization of dimension functions of wavelets

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