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Henstock-Kurzweil Integral Transforms

Author

Listed:
  • Salvador Sánchez-Perales
  • Francisco J. Mendoza Torres
  • Juan A. Escamilla Reyna

Abstract

We show conditions for the existence, continuity, and differentiability of functions defined by , where is a function of bounded variation on with .

Suggested Citation

  • Salvador Sánchez-Perales & Francisco J. Mendoza Torres & Juan A. Escamilla Reyna, 2012. "Henstock-Kurzweil Integral Transforms," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-11, October.
    • Handle: RePEc:hin:jijmms:209462
    DOI: 10.1155/2012/209462
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    Cited by:

    1. Juan H. Arredondo & Manuel Bernal & María Guadalupe Morales, 2020. "Fourier Analysis with Generalized Integration," Mathematics, MDPI, vol. 8(7), pages 1-16, July.
    2. Salvador Sánchez-Perales & Tomás Pérez-Becerra & Virgilio Vázquez-Hipólito & José J. Oliveros-Oliveros, 2021. "Sturm–Liouville Differential Equations Involving Kurzweil–Henstock Integrable Functions," Mathematics, MDPI, vol. 9(12), pages 1-20, June.

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