Invariance of a shift-invariant space
A shift-invariant space is a space of functions that is invariant under integer translations. Such spaces are often used as models for spaces of signals and images in mathematical and engineering applications. This paper characterizes those shift-invariant subspaces S that are also invariant under a...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/69116 |
| Acceso en línea: | http://hdl.handle.net/11336/69116 |
| Access Level: | acceso abierto |
| Palabra clave: | DIMENSION FUNCTION FIBER SPACE FRAMES GRAMIAN OPERATOR RANGE FUNCTION RIESZ BASIS SHIFT-INVARIANT SPACE TRANSLATION-INVARIANT SPACE https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | A shift-invariant space is a space of functions that is invariant under integer translations. Such spaces are often used as models for spaces of signals and images in mathematical and engineering applications. This paper characterizes those shift-invariant subspaces S that are also invariant under additional (non-integer) translations. For the case of finitely generated spaces, these spaces are characterized in terms of the generators of the space. As a consequence, it is shown that principal shift-invariant spaces with a compactly supported generator cannot be invariant under any non-integer translations. |
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