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I am wondering if the function $\mathrm{sinc}(x)=\frac{\sin x}{x}$ can be represented in terms of Fourier series?

Thank you.

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    It's not periodic, so you'll need to restrict the domain somewhat. If the restricted domain is symmetric about the origin, your series becomes a cosine series since the sine cardinal is even.2011-12-17
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    Were you possibly thinking about the _Fourier transform_ of the sinc function which turns out to be a rect function ?2011-12-17
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    No, I am thinking about integral $\int_{-\pi}^{\pi}|sinc{x}|^ndx$.2011-12-17
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    I did not understand about the cosing sing. Could you elaborate, please. thank you!2011-12-17

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