International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 209462, 11 pages
Research Article

Henstock-Kurzweil Integral Transforms

1Instituto de Física y Matemáticas, Universidad Tecnológica de la Mixteca, KM. 2.5, Carretera a Acatlima, 69000 Huajuapan de León, Oaxaca, Mexico
2Benemérita Universidad Autónoma de Puebla, 72570 Puebla, Puebla, Mexico

Received 23 March 2012; Accepted 30 August 2012

Academic Editor: Enrico Obrecht

Copyright © 2012 Salvador Sánchez-Perales et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We show conditions for the existence, continuity, and differentiability of functions defined by , where is a function of bounded variation on with .