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InverseFourierCoefficient

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.
  • The Fourier exponential series representation used by InverseFourierCoefficient is by default defined to be expr ExponentialE-2Pi ImaginaryI n t.
  • 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 .
Needs["FourierSeries`"]
Find a function with a given Fourier series:
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Compare with the answer from a numerical approximation:
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