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Some results about the Henstock-Kurzweil Fourier transform

Francisco J. Mendoza Torres; Juan A. Escamilla Reyna; Salvador Sánchez Perales — 2009

Mathematica Bohemica

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.

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