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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| Format: | Article |
| Language: | English |
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Hindawi Limited
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204403135 |
| Summary: | 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 involving ordinary
translation. |
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| ISSN: | 0161-1712 1687-0425 |