Theorems · Theorem · harmonic analysis
ZMod.dft_apply_zero
∀ {N : ℕ} [inst : NeZero N] {E : Type u_1} [inst_1 : AddCommGroup E] [inst_2 : Module ℂ E] (Φ : ZMod N → E),
ZMod.dft Φ 0 = ∑ j, Φ j- Defined in
- Mathlib.Analysis.Fourier.ZMod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZeroAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- Complexstatement and proof · cited by 5,565
- Finset.sumstatement and proof · cited by 5,195
- Finset.univstatement and proof · cited by 3,473
- LinearEquivstatement · cited by 3,317
- Finset.sum_congrproof · cited by 2,323
- MulZeroClass.mul_zeroproof · cited by 2,091
- one_smulproof · cited by 1,374
- ZModstatement and proof · cited by 1,024
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.completedLFunction_one_sub_evenproof · cited by 1