∀ {E : Type u_1} {F : Type u_2} [inst : NormedAddCommGroup E] [inst_1 : MeasurableSpace E] [inst_2 : BorelSpace E]
  [inst_3 : NormedAddCommGroup F] [inst_4 : InnerProductSpace ℂ F] [inst_5 : CompleteSpace F]
  [inst_6 : InnerProductSpace ℝ E] [inst_7 : FiniteDimensional ℝ E],
  FourierInvSMul ℂ ↥(MeasureTheory.Lp F 2 MeasureTheory.volume) ↥(MeasureTheory.Lp F 2 MeasureTheory.volume)