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Actualization 1: page 113 Danqing He $\varphi_{\epsilon}*f\to f in S$ if and only if $(\varphi_{\epsilon}*f)^{\wedge}\to \hat{f}$ in $S $ $(\varphi_{\epsilon})^{\wedge}\hat{f}\to \hat{f}$ in $S$ Therefore I need prove that: $\lim_{\epsilon\to 0}\sup_{x}\left| x^{\alpha}\partial^{\beta} ({\varphi_{\epsilon}}^{\wedge}\hat{f}-\hat{f})(x)\right|=0$, I think there is a mistake. Solution manual Discrete and Combinatorial Mathematics (5th ed., Ralph P. Grimaldi) Solution manual Practical Business Statistics (Andrew Siegel) Solution manual Probability, Reliability, and Statistical Methods in Engineering Solution manual Precalculus : A Prelude to Calculus (2nd Ed., Sheldon Axler) Solution Manual Experimental Methods for Engineers (8th Ed., Jack P. 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