Definition:Tempered Distribution Space
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Definition
Let $T: \map \SS \R \to \C$ be a tempered distribution.
Then the set of all $T$ is called the tempered distribution space and is denoted by $\map {\SS'} \R$.
 | Although this article appears correct, it's inelegant. There has to be a better way of doing it. In particular: But $T$ is fixed above. You can not talk about all $T$. Please correct the formality of the definition. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by redesigning it. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Improve}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |
Sources
- 2017: Amol Sasane: A Friendly Approach to Functional Analysis ... (previous) ... (next): Chapter $\S 6.5$: A glimpse of distribution theory. Fourier transform of (tempered) distributions