InverseFourierCoefficient[expr, n, t] gives the function of t whose Fourier exponential series representation has coefficients given by expr, where expr is a function of n.
To use InverseFourierCoefficient, you first need to load the Fourier Series Package using Needs["FourierSeries`"].
The Fourier exponential series representation used by InverseFourierCoefficient is by default defined to be expr-2nt.
InverseFourierCoefficient returns a periodic function of t with default period 1.
Different choices for the definition of the Fourier exponential series representation can be specified using the option FourierParameters.
With the setting FourierParameters->{a, b}, the Fourier exponential series representation used by InverseFourierCoefficient is , a periodic function of t with period .