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Laplace transform using the Henstock-Kurzweil integral

2014; Unión Matemática Argentina; Volume: 55; Issue: 1 Linguagem: Inglês

1669-9637

Salvador Sánchez-Perales, Jesús F. Tenorio,

Mathematical functions and polynomials

We consider the Laplace transform as a Henstock-Kurzweil integral. We give conditions for the existence, continuity and differentiability of the Laplace transform. A Riemann-Lebesgue Lemma is given, and it is proved that the Laplace transform of a convolution is the pointwise product of Laplace transforms.