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We prove that if either $A$ and $f^{(n)}$ are bounded or $f^{(i)}, 1 \\leq i \\leq n$ are bounded, $\\varphi$ is $n$-times differentiable on $\\mathbb{R}$ in the $\\mathcal{S}^p$-norm with bounded $n$th derivative. 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We prove that if either $A$ and $f^{(n)}$ are bounded or $f^{(i)}, 1 \\leq i \\leq n$ are bounded, $\\varphi$ is $n$-times differentiable on $\\mathbb{R}$ in the $\\mathcal{S}^p$-norm with bounded $n$th derivative. 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