2- Take u(x)=8(x), a delta function, and assume that the Hilbert transform equations hold. Show that:...

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2- Take u(x)=8(x), a delta function, and assume that the Hilbert transform equations hold. Show that: 8(w) = 1/2 1000 72 dy x y(y - w) 2- Take u(x)=8(x), a delta function, and assume that the Hilbert transform equations hold. Show that: 8(w) = 1/2 1000 72 dy x y(y - w)

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The given question involves demonstrating a specific property of the delta function through the Hilbert transform The Hilbert transform H of a functio... View the full answer