Some smooth compactly supported tight framelets associated to the quincunx matrix
نویسندگان
چکیده
منابع مشابه
Some Smooth Compactly Supported Tight Framelets Associated to the Quincunx Matrix
We construct two families of tight wavelet frames in L2(R) associated to the quincunx matrix. The first family has five generators and the second has only three. The generators have compact support, any given degree of regularity, and any fixed number of vanishing moments. Our construction is made in Fourier space and involves some refinable functions, the Oblique Extension Principle, and a sli...
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For any 2×2 dilation matrix with integer entries and | detA| = 2, we construct a family of smooth compactly supported tight wavelet frames with three generators in L2(R). Our construction involves some compactly supported refinable functions, the Oblique Extension Principle and a slight generalization of a theorem of Lai and Stöckler. Estimates for the degrees of smoothness are given. With the ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2016
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2015.12.022