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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
11
votes
0
answers
598
views
High-dimensional geometry: Top-down Vs. Bottom-up
There are several ways to leverage one's intuition from low-dimensional geometry to understand high-dimensional phenomena. For example, one can get a clearer picture of the behaviour of high-dimension …
7
votes
2
answers
613
views
Is there a tropical analogue of a reproducing kernel Hilbert space?
In classical functional analysis, one can construct a reproducing kernel Hilbert space by starting with a positive definite kernel, say
$K: [0,1]\times [0,1] \rightarrow \mathbb{R}$.
One then creates …