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

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Gaussian width and restricted isometry

It is known that, for an $m$ dimensional space and an $n\times m$ dimensional random matrix $U$ whose entries are iid Gaussian, then $\|I-(1/n)U^TU\|$ is bounded by $\sqrt{m/n}$ when $n>m$. If a set …