Definition:Inverse of Integral Transform

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 inverse is the integral transform:

$\map f x = \ds \int_c^d \map F p \map {K'} {p, x} \rd p$

if there is one.

Also see

• Results about integral transforms can be found here.

Sources

• 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