Inverse Fourier sine transform (the sine transform is an involution)
InverseFourierSinTransform[F[], , t]
InverseFourierSinTransform[F[ω], ω, ]
InverseFourierSinTransform[F[ω 1, …, ω n], {ω 1, …, ω n}, {t1, …, tn}]
InverseFourierSinTransform[Exp[-ω], ω, t]
→ (Sqrt[2/Pi]*t)/(1 + t^2)InverseFourierSinTransform[Cos[ω] / ω, ω, 1.2]
→ 1.2533141373155003 + 0.*IInverseFourierSinTransform[ω / (ω ^ 2 + 1), ω, t]
→ Sqrt[Pi/2]/E^t- AccuracyGoal — default Automatic
- Assumptions — default $Assumptions
- FourierParameters — default { 0 , 1 }
- GenerateConditions — default False
- PerformanceGoal — default $PerformanceGoal
- PrecisionGoal — default Automatic
- WorkingPrecision — default Automatic