The shape of a spectral line, J(w), is related to the free induction decay signal G(t) by

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The shape of a spectral line, J(w), is related to the free induction decay signal G(t) by where a is a constant and 'Re' means take the real part of what follows. Calculate the lineshape corresponding to an oscillating, decaying function G(t) = cos wot e-t/r


G(r)e!
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