Compactly supported wavelet bases for Sobolev spaces
نویسندگان
چکیده
منابع مشابه
Compactly supported wavelet bases for Sobolev spaces
In this paper we investigate compactly supported wavelet bases for Sobolev spaces. Starting with a pair of compactly supported refinable functions φ and φ̃ in L2(R) satisfying a very mild condition, we provide a general principle for constructing a wavelet ψ such that the wavelets ψjk := 2j/2ψ(2j · − k) (j, k ∈ Z) form a Riesz basis for L2(R). If, in addition, φ lies in the Sobolev space H(R), t...
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In this correspondence, we generalize the theory of compactly supported biorthogonal two-channel wavelet bases to M -channel. A sufficient condition for the M -channel perfect reconstruction filter banks to constructM -channel biorthogonal bases of compactly supported wavelets is derived. It is shown that the construction of biorthogonal M -channel wavelet bases is equivalent to the design of a...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2003
ISSN: 1063-5203
DOI: 10.1016/j.acha.2003.08.003