Refinable functions with non-integer dilations

DOI10.1016/j.jfa.2007.02.005zbMath1128.42018OpenAlexW2073021339MaRDI QIDQ996256

Yang Wang, Xin-Rong Dai, De-Jun Feng

Publication date: 13 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.02.005

zbMATH Keywords

Fourier transformregularitysmoothnessuniform decaycompact supportBernoulli convolution\(\lambda\)-refinable function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Functional equations for real functions (39B22) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

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Cites Work

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• Classification of refinable splines
• Bernoulli convolutions associated with certain non-Pisot numbers
• On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
• Self-affine tiles in \(\mathbb{R}^n\)
• Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
• Arithmetic Properties of Bernoulli Convolutions
• Orthonormal bases of compactly supported wavelets
• Stationary subdivision
• Ten Lectures on Wavelets

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