If we define the function:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] F[w]=\int_{-\infty}^{\infty}dxe^{-iwx}g(x) [/tex]

my question is..what would be the criterion to decide if F[w] has all the roots real (w=w*) and how is derived?..thanks.

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# Real roots of Fourier transform

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