Self-similar and multiscaling functions of dimension r
In this work we will generalize results linking multiresolution analysis structures and vectorial spaces generated from integer shifts of self-similar or radial basis functions. This connection results of a remarkable relation between causal scaling and causal radial functions, recentely exposed by...
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2003
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5207_n2_p930_Fabio http://hdl.handle.net/20.500.12110/paper_0277786X_v5207_n2_p930_Fabio |
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| Sumario: | In this work we will generalize results linking multiresolution analysis structures and vectorial spaces generated from integer shifts of self-similar or radial basis functions. This connection results of a remarkable relation between causal scaling and causal radial functions, recentely exposed by T. Blu and M. Unser for the unidimensional case. Here, we will detail some definitions and will enunciate the main theorems for the r dimensional case. |
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