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Regularity of Butterworth refinable functions

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Publication:700504
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DOI10.4310/AJM.2001.v5.n3.a2zbMath1009.42021MaRDI QIDQ700504

Qiyu Sun, Ai-Hua Fan

Publication date: 22 October 2002

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

regularityrefinement equationrefinable functionsButterworth filter


Mathematics Subject Classification ID

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


Related Items (6)

Analysis and construction of a family of refinable functions based on generalized Bernstein polynomials ⋮ Sobolev exponents of Butterworth refinable functions ⋮ On the smoothness of orthonormal wavelets arising from HDAFs ⋮ Refinable functions with exponential decay: an approach via cascade algorithms ⋮ Characterization of Riesz bases of wavelets generated from multiresolution analysis ⋮ How smooth is your wavelet? Wavelet regularity via thermodynamic formalism




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