Francisco J. Mendoza Torres, Juan A. Escamilla Reyna, Salvador Sanchez Perales, Benemerita Universidad Autonoma de Puebla, Puebla, Pue., Mexico 72570, e-mail: jmendoza@fcfm.buap.mx, jescami@fcfm.buap.mx, es21254@yahoo.com.mx
Abstract: We consider the Fourier transform in the space of Henstock-Kurzweil integrable functions. We prove that the classical results related to the Riemann-Lebesgue lemma, existence and continuity are true in appropriate subspaces.
Keywords: Fourier transform, Henstock-Kurzweil integral, bounded variation functions
Classification (MSC 2000): 42A38, 26A39, 26A45
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