Finitelly generated multiresolucion analysis in several variables
Let r be a lattice in ]Rn and A a dilation matrix such that Ar e r. Let 'P be a localized square integrable vector function and assume that the lattice translates of 'P are orthonormal. We give necessary and sufficient conditions on 'P in order that it generates a Multiresolution Anal...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2003 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/160434 |
| Acceso en línea: | http://hdl.handle.net/11336/160434 |
| Access Level: | acceso abierto |
| Palabra clave: | multiresolution analysis wavelets https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Let r be a lattice in ]Rn and A a dilation matrix such that Ar e r. Let 'P be a localized square integrable vector function and assume that the lattice translates of 'P are orthonormal. We give necessary and sufficient conditions on 'P in order that it generates a Multiresolution Analysis in ]Rn with respect to the . lattice r and the dilation A. This characterization extends previous results to the case of regular non-compactly supported functions. |
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