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

12 votes

When does a unitary Hilbert space rep of a reductive Lie group decompose into a direct sum o...

First a few background references: Read Mackey's books or articles for much more on unitary representations. Especially the Bull. AMS article "Infinite-dimensional group representations" from 1963 i …
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8 votes
1 answer
1k views

Ring of continuous functions, reference request.

I am looking for a reference for the following facts in functional analysis and topology. (If these "facts" are not true, I suppose I'm looking for the closest approximation which is true.) Let $X$ …
Marty's user avatar
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