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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

14 votes

Is there a nice application of category theory to functional/complex/harmonic analysis?

First, a disclaimer: I am not even close to being an analyst. Second, I don't know of any applications of category theory to the areas of analysis that you mention. I don't think we have got to that …
Finn Lawler's user avatar
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