Let (f) be a real function and define the Fourier norm as Feller (1971) does as [(2

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Let \(f\) be a real function and define the Fourier norm as Feller (1971) does as

\[(2 \pi)^{-1} \int_{-\infty}^{\infty}|f(x)| d x\]

For a fixed value of \(x\), is this function a norm?

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