III.18 Distributions, Terence Tao: Page 185.

Evaluation of points using set-theoretic ideas of domain, range and sets.

Bundles, sections, schemes and sheaves.

Resulting in measure and distribution.

Function spaces, rough and smooth functions.

Distributions or generalized functions tend to be “rough”.

Linear functional.

Dual space is the space of continuous linear functional, these tend to be “smooth”.

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