| dc.creator | Mendoza Torres, Francisco Javier | es |
| dc.creator | Escamilla Reyna, Juan Alberto | es |
| dc.creator | Raggi Cárdenas, María Guadalupe | es |
| dc.date | 2017-04-06 | |
| dc.date.accessioned | 2025-10-06T15:05:06Z | |
| dc.date.available | 2025-10-06T15:05:06Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1409 | |
| dc.identifier | 10.4067/S0716-09172008000300006 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/255534 | |
| 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 ± ∞, 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 |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.publisher | Universidad Católica del Norte. | en |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1409/1205 | |
| dc.rights | Copyright (c) 2008 Proyecciones. Journal of Mathematics | en |
| dc.source | Proyecciones (Antofagasta); Vol. 27 No. 3 (2008); 307-318 | en |
| dc.source | Proyecciones. Revista de Matemática; Vol. 27 Núm. 3 (2008); 307-318 | es |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2008 | |
| dc.title | About an existence theorem of the Henstock-Fourier transform | es |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
