Theorems · Theorem · harmonic analysis
MeasureTheory.memLp_haarAddCircle_iff
∀ {T : ℝ} [hT : Fact (0 < T)] {f : AddCircle T → ℂ} {p : ENNReal},
MeasureTheory.MemLp f p AddCircle.haarAddCircle ↔ MeasureTheory.MemLp f p MeasureTheory.volume- Defined in
- Mathlib.Analysis.Fourier.AddCircle
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- MeasureTheory.Measureproof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Complexstatement and proof · cited by 5,565
- Factstatement and proof · cited by 2,726
- one_smulproof · cited by 1,374
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- ENNReal.ofRealproof · cited by 863
- ne_of_gtproof · cited by 637
- AddSubgroup.zmultiplesstatement · cited by 493
- MeasureTheory.MemLpstatement and proof · cited by 457
- smul_smulproof · cited by 360
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.MemLp.haarAddCircleproof · cited by 1
- MeasureTheory.MemLp.of_haarAddCircleproof · cited by 0