Theorems · Theorem · harmonic analysis
fourier_add_half_inv_index
∀ {T : ℝ} {n : ℤ}, n ≠ 0 → 0 < T → ∀ (x : AddCircle T), (fourier n) (x + ↑(T / 2 / ↑n)) = -(fourier n) xFor n ≠ 0, a translation by T / 2 / n negates the function fourier n.
- Defined in
- Mathlib.Analysis.Fourier.AddCircle
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
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Cited by1
Results whose statement or proof uses this declaration.
- orthonormal_fourierproof · cited by 3