| dc.creator | Apolonio, Felipe A. | |
| dc.creator | Franco, Daniel H. T. | |
| dc.creator | Fagundes, Fábio N. | |
| dc.date | 2018-02-07T17:48:39Z | |
| dc.date | 2018-02-07T17:48:39Z | |
| dc.date | 2012-04-19 | |
| dc.date.accessioned | 2023-09-27T20:57:41Z | |
| dc.date.available | 2023-09-27T20:57:41Z | |
| dc.identifier | 1687-0425 | |
| dc.identifier | http://dx.doi.org/10.1155/2012/758694 | |
| dc.identifier | http://www.locus.ufv.br/handle/123456789/17483 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/8951719 | |
| dc.description | 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 . | |
| dc.format | pdf | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | International Journal of Mathematics and Mathematical Sciences | |
| dc.relation | Volume 2012, Article ID 758694, 2012 | |
| dc.rights | Open Access | |
| dc.subject | Directional wavelet transform | |
| dc.subject | Distributional boundary values | |
| dc.subject | Wavefront Sets | |
| dc.title | A note on directional wavelet transform: distributional boundary values and analytic wavefront sets | |
| dc.type | Artigo | |
