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Results tagged with fourier-transform
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user 505168
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Information about smoothness of function from its Fourier transform
We know that if the integrable function $f\in H^\alpha(\mathbb{R}), 0<\alpha<1$ (Hölder continuous), then its Fourier transform $\hat{f}$ has the asymptotic form $ O (1/x^\alpha)$ as $x\to\infty$. We …
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