Calculating a Fourier transform using the residual method
Introduction to the fractional derivative

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Calculating a Fourier transform using the residual method
Introduction to the fractional derivative

Authors : François DUBOIS, Ana Cristina GALUCIO, Nelly POINT

Publication date: April 10, 2010 | Lire en français

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8. Calculating a Fourier transform using the residual method

In this section, we perform a special Fourier transform that requires calculation in the complex plane. We denote Y(t) the Heaviside function and have introduced in (11) the function :

ρ(t)≡1tY(t).

We'll calculate the transform of ρ(•), bearing in mind that this function is not integrable....

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