Definition:Integral Transform/Kernel

This page is about Kernel of Integral Transform. For other uses, see Kernel.

Definition

Let $\map F p$ be an integral transform:

$\map F p = \ds \int_a^b \map f x \map K {p, x} \rd x$

The function $\map K {p, x}$ is the kernel of $\map F p$.

Also see

• Results about integral transforms can be found here.

Sources

• 1968: Peter D. Robinson: Fourier and Laplace Transforms ... (previous) ... (next): $\S 1.1$. The Idea of an Integral Transform
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): integral transform
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): integral transform