Theorems · Theorem · measure theory
MeasureTheory.charFun_map_add_const
∀ {E : Type u_3} [inst : MeasurableSpace E] {μ : MeasureTheory.Measure E} [inst_1 : NormedAddCommGroup E]
[inst_2 : InnerProductSpace ℝ E] [BorelSpace E] (r t : E),
MeasureTheory.charFun (MeasureTheory.Measure.map (fun x => x + r) μ) t =
MeasureTheory.charFun μ t * Complex.exp (↑(inner ℝ r t) * Complex.I)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 255 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpaceproof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Complexstatement and proof · cited by 5,565
- InnerProductSpacestatement and proof · cited by 3,523
- MeasureTheory.integralproof · cited by 1,779
- Complex.ofRealstatement and proof · cited by 1,654
- BorelSpacestatement and proof · cited by 1,602
- Inner.innerstatement and proof · cited by 1,089
- Complex.Istatement and proof · cited by 866
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.charFun_map_const_addproof · cited by 0