Heaviside Step Function is Locally Integrable

Theorem

Let $u_c$ be a Heaviside step function.

Then $u_c$ is a locally integrable function.

Proof

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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