| dc.creator | Mendoza Torres, Francisco Javier | |
| dc.creator | Escamilla Reyna, Juan Alberto | |
| dc.creator | Raggi Cárdenas, María Guadalupe | |
| dc.date | 2017-04-06 | |
| dc.date.accessioned | 2019-11-14T11:59:33Z | |
| dc.date.available | 2019-11-14T11:59:33Z | |
| dc.identifier | https://www.revistaproyecciones.cl/article/view/1409 | |
| dc.identifier | 10.4067/S0716-09172008000300006 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/113155 | |
| dc.description | We show that if f is lying on the intersection of the space of Henstock-Kurzweil integrable functions and the space of the bounded variation functions in the neighborhood of ±8, then its Fourier Transform exists in all R. This result is more general than the classical result which enunciates that if f is Lebesgue integrable, then the Fourier Transform of f exists in all R, because we also have proved that there are functions which belong to the intersection of the space of the Henstock-Kurzweil integrable functions and the space of the bounded variation functions which are not Lebesgue integrable. | es-ES |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.publisher | Universidad Católica del Norte. | es-ES |
| dc.relation | https://www.revistaproyecciones.cl/article/view/1409/1205 | |
| dc.rights | Derechos de autor 2008 Proyecciones. Journal of Mathematics | es-ES |
| dc.source | Proyecciones. Journal of Mathematics; Vol 27 No 3 (2008); 307-318 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 27 Núm. 3 (2008); 307-318 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 0716-0917 | |
| dc.subject | Henstock-Kurzweil integral | es-ES |
| dc.subject | bounded variation function | es-ES |
| dc.subject | Lebesgue integral | es-ES |
| dc.subject | integral de Henstock-Kurzweil | es-ES |
| dc.subject | función de variación acotada | es-ES |
| dc.subject | integral de Lebesgue. | es-ES |
| dc.title | About an existence theorem of the Henstock-Fourier transform | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Artículo revisado por pares | es-ES |
