Radial multiresolution in dimension three
نویسنده
چکیده
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 construct a radial scaling function and a radial wavelet from an even classical scaling function on R. Furthermore, decomposition and reconstruction algorithms are formulated. 2000 AMS subject classification: 42C40, 43A62
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