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Results tagged with measurable-functions
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user 169474
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A nonlinear mapping on $L^2(S^1)$ that commutes with all translation operators is necessaril...
For $f \in H$, call $Mf$ the mean value of $f$ on $\mathbb{S}_1$. Let $\phi : \mathbb{R} \to \mathbb{R}$ be any non-Borel function. Call $\mathbb{1} \in H$ the constant function equal to $1$ everywher …
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