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 |
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doaj-14f7c14982994838aa5d34644cd966c52020-11-25T00:25:09ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004643435344410.1155/S0161171204403135Refinement equations for generalized translationsW. Christopher Lang0Department of Mathematics, School of Natural Sciences, Indiana University Southeast, New Albany 47150, IN, USAWe 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.http://dx.doi.org/10.1155/S0161171204403135 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
W. Christopher Lang |
| spellingShingle |
W. Christopher Lang Refinement equations for generalized translations International Journal of Mathematics and Mathematical Sciences |
| author_facet |
W. Christopher Lang |
| author_sort |
W. Christopher Lang |
| title |
Refinement equations for generalized translations |
| title_short |
Refinement equations for generalized translations |
| title_full |
Refinement equations for generalized translations |
| title_fullStr |
Refinement equations for generalized translations |
| title_full_unstemmed |
Refinement equations for generalized translations |
| title_sort |
refinement equations for generalized translations |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2004-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/S0161171204403135 |
| work_keys_str_mv |
AT wchristopherlang refinementequationsforgeneralizedtranslations |
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1725349702620151808 |