Geodesic
Some results about the Henstock-Kurzweil Fourier transform
Mathematica Bohemica, Tome 134 (2009) no. 4, pp. 379-386.

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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.
DOI : 10.21136/MB.2009.140670
Classification : 26A39, 26A45, 42A38
Keywords: Fourier transform; Henstock-Kurzweil integral; bounded variation functions 
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Mendoza Torres, Francisco J.; Escamilla Reyna, Juan A.; Sánchez Perales, Salvador. Some results about the Henstock-Kurzweil Fourier transform. Mathematica Bohemica, Tome 134 (2009) no. 4, pp. 379-386. doi : 10.21136/MB.2009.140670. http://geodesic.mathdoc.fr/articles/10.21136/MB.2009.140670/

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