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## Homework Statement

HI all.

In order to perform a Fourier transform on a function f(x), f(x) must be integrable, i.e.

[tex]

\int_{-\infty}^{\infty}|f(x)|dx < \infty.

[/tex]

Can you confirm that this also implies that f(x) -> 0 for x -> (+/-) infinity?