A Note on Two Classical Theorems of the Fourier Transform for Bounded Variation Functions

Authors

  • Francisco J. Mendoza-Torres Facultad de Cs. Fí­sico Matemáticas, Benemérita Universidad Autónoma de Puebla, Puebla, Pue., 72570

DOI:

https://doi.org/10.26713/cma.v7i2.505

Keywords:

Riemann-Lebesgue lemma, Dirichlet-Jordan theorem, Bounded variation function, Henstock-Kurzweil integral

Abstract

Employing the Henstock-Kurzweil integral, we make simple proofs of the Riemann-Lebesgue lemma and the Dirichlet-Jordan theorem for functions of bounded variation which vanish at infinity.

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References

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CITATION

How to Cite

Mendoza-Torres, F. J. (2016). A Note on Two Classical Theorems of the Fourier Transform for Bounded Variation Functions. Communications in Mathematics and Applications, 7(2), 73–80. https://doi.org/10.26713/cma.v7i2.505

Issue

Vol. 7 No. 2 (2016)

Section

Research Article

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