Definition:Inverse of Integral Transform
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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