The discussion centers on the relationship between the Fourier Transform of the rectangular function, F[Rect], and the sinc function, F[sinc]. It establishes that F[Rect] = sinc implies F[sinc] = Rect with minor constants. The duality property of the continuous Fourier transform is crucial for understanding this relationship, as it allows for the transformation between these two functions. The integral formula for the Fourier transform, 2πf(-w) = ∫[−∞, ∞] F(t)e^(-iwt) dt, is also referenced as a foundational equation in this context.
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