Refinement equations for generalized translations

We study refinement equations which relate the dilation of a function with generalized translates of the function, consisting of convolutions against certain kernels including Cauchy and Gaussian densities; solutions are expressed in terms of solutions of the corresponding refinement equation involv...

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Bibliographic Details
Main Author: W. Christopher Lang
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171204403135