Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-04-01

Journal: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Included Journals: Scopus、SCIE

Volume: 19

Issue: 2

Page Number: 296-311

ISSN: 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.