Regularity of refinable functions with exponentially decaying masks (Q990839)
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scientific article; zbMATH DE number 5777332
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity of refinable functions with exponentially decaying masks |
scientific article; zbMATH DE number 5777332 |
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Regularity of refinable functions with exponentially decaying masks (English)
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1 September 2010
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The regularity of refinable functions with exponentially decaying masks is characterized via the spectral radius of the transfer operator associated with its mask. The characterization established in the paper extends some results of \textit{A. Cohen} et al. [Constructive Approximation 15, No. 2, 241--255 (1999; Zbl 0937.42017)], \textit{R.-Q. Jia} [Trans. Am. Math. Soc. 351, No. 10, 4089--4112 (1999; Zbl 1052.42029)], \textit{R.-Q. Jia} and \textit{Q. Jiang} [SIAM J. Matrix Anal. Appl. 24, No. 4, 1071--1109 (2003; Zbl 1032.42037)], where regularity of refinable functions with compact support are discussed.
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refinable functions
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infinite refinement masks
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transition operators
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regularity
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Sobolev spaces
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Lipschitz spaces
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