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lang-mma
FactorList[]succeeds by putting the factors in a list, which keeps them from recombining.FactorList[]andCollect[]are more robust and reliable thanCases[]and other pattern-based manipulations. $\endgroup$Cases[]depends more on how Mathematica prefers to manipulate the expressions. ButFourierTransform[]transformsA Exp[b+I f0 t]toA Exp[b] DiracDelta[f-f0]which already makes it a lot more robust. So, for now I am helped, but I realize that this is only possible because in my caseI f0 tis purely imaginary. If it where purely real, then it is still possible to do this, by substitutingt->I imt. But not if there are multiple terms withf0with differing complex arguments. But perhaps, in that case, a LaPlace transform would help ... But I didn't look at that. $\endgroup$