[Merged by Bors] - feat(analysis/convolution): weaken topological assumptions #18012
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We redefine `locally_integrable`: currently, this means "integrable on every compact set", and we change it to "integrable on a neighborhood of any point", to bring it in line with `is_locally_finite_measure`. This makes it possible to weaken a lot of assumptions in the file on convolutions, removing second countability or local compactness assumptions.
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We redefine
locally_integrable: currently, this means "integrable on every compact set", and we change it to "integrable on a neighborhood of any point", to bring it in line withis_locally_finite_measure.This makes it possible to weaken a lot of assumptions in the file on convolutions, removing second countability or local compactness assumptions.
This is related to #17626, but there is no direct dependence in one direction or the other. Whichever is merged first, I will adapt the other one.