Definition:Locally Integrable Function Space
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Definition
Let $f : \R^d \to \C$ be a locally integrable function.
The set of all $f$ is called the locally integrable function space and is denoted by $\map {L^1_{loc} } {\R^d}$.
Sources
- 2017: Amol Sasane: A Friendly Approach to Functional Analysis ... (previous) ... (next): Chapter $\S 6.1$: A glimpse of distribution theory. Test functions, distributions, and examples