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https://locus.ufv.br//handle/123456789/17483
Tipo: | Artigo |
Título: | A note on directional wavelet transform: distributional boundary values and analytic wavefront sets |
Autor(es): | Apolonio, Felipe A. Franco, Daniel H. T. Fagundes, Fábio N. |
Abstract: | By using a particular class of directional wavelets (namely, the conical wavelets, which are wavelets strictly supported in a proper convex cone in the -space of frequencies), in this paper, it is shown that a tempered distribution is obtained as a finite sum of boundary values of analytic functions arising from the complexification of the translational parameter of the wavelet transform. Moreover, we show that for a given distribution , the continuous wavelet transform of with respect to a conical wavelet is defined in such a way that the directional wavelet transform of yields a function on phase space whose high-frequency singularities are precisely the elements in the analytic wavefront set of . |
Palavras-chave: | Directional wavelet transform Distributional boundary values Wavefront Sets |
Editor: | International Journal of Mathematics and Mathematical Sciences |
Tipo de Acesso: | Open Access |
URI: | http://dx.doi.org/10.1155/2012/758694 http://www.locus.ufv.br/handle/123456789/17483 |
Data do documento: | 19-Abr-2012 |
Aparece nas coleções: | Artigos |
Arquivos associados a este item:
Arquivo | Descrição | Tamanho | Formato | |
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artigo.pdf | Texto completo | 1,9 MB | Adobe PDF | Visualizar/Abrir |
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