Definition:Integral Transform/Image Space
< Definition:Integral Transform(Redirected from Definition:Image Space of Integral Operator)
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Definition
Let $\map F p$ be an integral transform:
- $\ds \map F p = \int_a^b \map f x \map K {p, x} \rd x$
Let $T: f \to F$ be the integral operator corresponding to $\map F p$.
The domain of $p$ is known as the image space of $T$.
Also known as
The image space of $T$ can also be seen hyphenated: image-space.
Sources
- 1968: Peter D. Robinson: Fourier and Laplace Transforms ... (previous) ... (next): $\S 1.1$. The Idea of an Integral Transform