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 |
| Published: |
Wiley
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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| _version_ | 1832562582792175616 |
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| author | W. Christopher Lang |
| author_facet | W. Christopher Lang |
| author_sort | W. Christopher Lang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-14f7c14982994838aa5d34644cd966c5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-14f7c14982994838aa5d34644cd966c52025-02-03T01:22:10ZengWileyInternational 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 |
| spellingShingle | W. Christopher Lang Refinement equations for generalized translations International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | Refinement equations for generalized translations |
| title_sort | refinement equations for generalized translations |
| url | http://dx.doi.org/10.1155/S0161171204403135 |
| work_keys_str_mv | AT wchristopherlang refinementequationsforgeneralizedtranslations |