I would like to integate this equation:
Integrate[Exp[I*(t1-t2)*ω, {ω, -∞, ∞}]
According to a textbook, I know the answer is $2\pi\delta(t_1 - t_2)$, where $\delta$ is the DiracDelta
function. But how can prove this directly in Mathematica?
FourierTransform[Exp[I (x) w], w, t]
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