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Results tagged with measure-theory
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user 37103
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
5
votes
Accepted
Taking away the "almost sure"
Let $\Omega=(0,1)$ and $\xi_n:\omega\in\Omega\mapsto$ the $n$-th term of the continued fraction expansion of $\omega$. Given a sequence $c_n$, there is another sequence $m_n\in\mathbb{N}$ such that $\ …
- 5,169
1
vote
Infinitely many independent functions that are only frequency localized?
For all $a\in(0,K)$, the function $\hat 1_{[0,a]}$ is $K$-frequency localized, yet the function itself decays like $1/x$ as $x\to\infty$ (as easily seen by integration by parts), so it is not spatiall …
- 5,169