analytical chem question about fourier transform spectroscopy - why is it advantageous to convert the spectrum to the frequency domain vs time domain?

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One of the main reasons for using a frequency domain representation of a problem is to simplify the mathematical analysis. For mathematical systems governed by linear differential equations, a very important class of systems with many real-world applications, converting the description of the system from the time domain to a frequency domain converts the differential equations to algebraic equations, which are much easier to solve."

(from wikipedia)