Biorthogonal radial multiresolution in dimension three
نویسندگان
چکیده
منابع مشابه
Radial multiresolution in dimension three
We present a construction of a wavelet-type orthonormal basis for the space of radial L-functions in R via the concept of a radial multiresolution analysis. The elements of the basis are obtained from a single radial wavelet by usual dilations and generalized translations. Hereby the generalized translation reveals the group convolution of radial functions in R. We provide a simple way to const...
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The object of this paper is to construct extension operators in the Sobolev spacesHk(]−∞,0]) andHk([0,+∞[) (k≥ 0). Thenwe use these extensions to get biorthogonal wavelet bases inHk(R). We also give a construction in L2([−1,1]) to see how to obtain boundaries functions. 2000 Mathematics Subject Classification. 41A58, 42C15.
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2009
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.05.057