Inverse Fourier cosine transform (the cosine transform is an involution)
InverseFourierCosTransform[F[], , t]
InverseFourierCosTransform[F[ω], ω, ]
InverseFourierCosTransform[F[ω 1, …, ω n], {ω 1, …, ω n}, {t1, …, tn}]
InverseFourierCosTransform[1 / Sqrt[ω], ω, t]
→ 1/Sqrt[t]InverseFourierCosTransform[E ^ (-ω ^ 2), ω, t]
→ 1/(Sqrt[2]*E^(t^2/4))InverseFourierCosTransform[1 / Sqrt[u ^ 2 + v ^ 2], {u, v}, {x, y}]
→ 1/Sqrt[x^2 + y^2]- AccuracyGoal — default Automatic
- Assumptions — default $Assumptions
- FourierParameters — default { 0 , 1 }
- GenerateConditions — default False
- PerformanceGoal — default $PerformanceGoal
- PrecisionGoal — default Automatic
- WorkingPrecision — default Automatic