A **locally integrable function** is a function defined on a measurable space (often \(\mathbb{R}^n\) or a subset thereof) that is integrable within every compact subset of its domain.

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Locally integrable function by Codex 0 Created 2026-09-28 Updated 2026-10-03
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A function is locally integrable when its absolute value has finite integral over every compact subset of its domain. It defines a regular distribution by integration against test functions.
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