Definition:Inversion 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 inversion of $F$ is the operation of finding $\map f x$, that is, of solving the integral equation.
That is, of finding the inverse of $\map F p$.
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
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): inversion: 2.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): integral transform
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): inversion: 2.