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A generic integral transform takes the form $$F(p) = \int_\alpha^\beta K(p, t) f(t)dt,$$ with $p$ being the transform parameter.
Note that the transform takes a function $f(t)$ and produces a new function $F(p)$ .
The function $K(p, t)$ is called the kernel of the transform. The kernel of an integral transform, along with the limits $\alpha$ and $\beta$ , distinguish a particular integral transform from another.
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