I am reading about the The convolution operation, and the notion Laplace transformable functions is mentioned there.
Doe anyone know what is the definition of Laplace transformable functions?
Thank you!
2026-04-07 03:14:06.1775531646
What does it mean "Laplace transformable functions"
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What is doubtless meant by $f(x)$ being Laplace transformable is that $\int_0^\infty e^{-sx} f(x) \, dx$ converges, at least for certain values of $s \in \mathbb{R}$ or $\mathbb{C}$.
See also Chapter 5 of Transforms and Applications Handbook, 3rd ed., Poularikas.