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论文类型：期刊论文

发表时间：2013-04-01

发表刊物：JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

收录刊物：SCIE、Scopus

卷号：19

期号：2

页面范围：296-311

ISSN号：1069-5869

关键字：Pseudo-Butterworth masks; Cascade algorithm; Riesz wavelet basis; Sobolev exponent

摘要：In this paper we propose the generalized pseudo-Butterworth refinable functions which involve pseudo-splines of type I and II, Butterworth refinable functions, pseudo-Butterworth refinable functions, and almost all symmetric and causal fractional B-splines. Furthermore, the convergence of cascade algorithms associated with the new masks is proved, and Riesz wavelet bases in L (2)(a"e) corresponding to the parameters are constructed. The regularity of the generalized pseudo-Butterworth refinable functions is also analyzed by Fourier analysis.