A Hypergeometric Basis for the Alpert Multiresolution Analysis
نویسندگان
چکیده
منابع مشابه
A Hypergeometric Basis for the Alpert Multiresolution Analysis
We construct an explicit orthonormal basis of piecewise i+1Fi hypergeometric polynomials for the Alpert multiresolution analysis. The Fourier transform of each basis function is written in terms of 2F3 hypergeometric functions. Moreover, the entries in the matrix equation connecting the wavelets with the scaling functions are shown to be balanced 4F3 hypergeometric functions evaluated at 1, whi...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2015
ISSN: 0036-1410,1095-7154
DOI: 10.1137/140963923