1. Some results about the Henstock-Kurzweil Fourier transform Creator: Mendoza Torres, Francisco J., Escamilla Reyna, Juan A., and Sánchez Perales, Salvador Format: bez média and svazek Type: model:article and TEXT Subject: Fourier transform, Henstock-Kurzweil integral, and bounded variation functions Language: English Description: 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. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public