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Wiener proved that $W_{1}([-\\delta,\\delta])<\\infty$, $\\delta\\in (0,1/2)$. E. Hlawka showed that $W_{n}(D)\\le 2^{n}$, where $D$ is an origin-symmetric convex body.\n  We sharpen Hlawka's estimates for $D$ being the ball $B^{n}$ and the cube $I^{n}$. In particular, we prove that $W_{n}(B^{n})\\le 2^{(0.401\\ldots +o(1))n}$. We also obtain a lower bound of $W_{n}(D)$. 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