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Indexed by:期刊论文

Date of Publication:2013-04-01

Journal:JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Included Journals:SCIE、Scopus

Volume:19

Issue:2

Page Number:296-311

ISSN No.:1069-5869

Key Words:Pseudo-Butterworth masks; Cascade algorithm; Riesz wavelet basis; Sobolev exponent

Abstract: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.