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Displaying similar documents to “Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series”

Some results about the Henstock-Kurzweil Fourier transform

Francisco J. Mendoza Torres, Juan A. Escamilla Reyna, Salvador Sánchez Perales (2009)

Mathematica Bohemica

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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.