Compactly Supported Wavelets in Sobolev Spaces of Integer Order
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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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 1997
ISSN: 1063-5203
DOI: 10.1006/acha.1996.0197