[Merged by Bors] - feat: Fourier inversion formula#10810
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[Merged by Bors] - feat: Fourier inversion formula#10810
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jcommelin
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Mar 5, 2024
| Fejer theorem: '' | ||
| Parseval theorem: 'tsum_sq_fourierCoeff' | ||
| Fourier transforms on $\mathrm{L}^1(\R^d)$ and $\mathrm{L}^2(\R^d)$: '' | ||
| Fourier transform on $\mathrm{L}^1(\R^d)$: 'Real.fourierIntegral' |
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I'm not sure we're supposed to add entries to this file... because it's meant to correspond 1-to-1 to the aggregation list.
cc @PatrickMassot
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Splitting an entry is definitely fine.
| Fourier transform on $\mathrm{L}^1(\R^d)$: 'Real.fourierIntegral' | ||
| Fourier transform on $\mathrm{L}^2(\R^d)$: '' | ||
| Plancherel’s theorem: '' | ||
| Fourier inversion formula: 'Continuous.fourier_inversion' |
mathlib-bors bot
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Mar 5, 2024
We show the Fourier inversion formula on finite-dimensional real inner product spaces: if `f` and its Fourier transform are both integrable, then `𝓕⁻ (𝓕 f) = f` at continuity points of `f`.
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mathlib-bors bot
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Mar 5, 2024
We show the Fourier inversion formula on finite-dimensional real inner product spaces: if `f` and its Fourier transform are both integrable, then `𝓕⁻ (𝓕 f) = f` at continuity points of `f`.
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Pull request successfully merged into master. Build succeeded: |
kbuzzard
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Mar 12, 2024
We show the Fourier inversion formula on finite-dimensional real inner product spaces: if `f` and its Fourier transform are both integrable, then `𝓕⁻ (𝓕 f) = f` at continuity points of `f`.
dagurtomas
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Mar 22, 2024
We show the Fourier inversion formula on finite-dimensional real inner product spaces: if `f` and its Fourier transform are both integrable, then `𝓕⁻ (𝓕 f) = f` at continuity points of `f`.
utensil
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Mar 26, 2024
We show the Fourier inversion formula on finite-dimensional real inner product spaces: if `f` and its Fourier transform are both integrable, then `𝓕⁻ (𝓕 f) = f` at continuity points of `f`.
xgenereux
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Apr 15, 2024
We show the Fourier inversion formula on finite-dimensional real inner product spaces: if `f` and its Fourier transform are both integrable, then `𝓕⁻ (𝓕 f) = f` at continuity points of `f`.
callesonne
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Apr 22, 2024
We show the Fourier inversion formula on finite-dimensional real inner product spaces: if `f` and its Fourier transform are both integrable, then `𝓕⁻ (𝓕 f) = f` at continuity points of `f`.
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We show the Fourier inversion formula on finite-dimensional real inner product spaces: if
fand its Fourier transform are both integrable, then𝓕⁻ (𝓕 f) = fat continuity points off.