feat(Fourier): improved version of Riemann-Lebesgue#35291
feat(Fourier): improved version of Riemann-Lebesgue#35291mcdoll wants to merge 5 commits intoleanprover-community:masterfrom
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PR summary 4a1339f2f3Import changes exceeding 2%
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| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.Analysis.Fourier.RiemannLebesgueLemma | 2461 | 2706 | +245 (+9.96%) |
Import changes for all files
| Files | Import difference |
|---|---|
Mathlib.Analysis.Fourier.RiemannLebesgueLemma |
245 |
Mathlib.Analysis.Fourier.L1Space (new file) |
2702 |
Declarations diff
+ Lp.fourierTransformCLM
+ Lp.fourierTransformCLM_apply_apply
+ Lp.fourierTransformCLM_toBCF
+ Lp.fourierTransformCLM_toLp_one_apply
+ _root_.LinearMap.mkContinuous'
+ foo
+ foo_apply
+ foo₀
+ foo₀_apply
+ fooₗ
+ fooₗ_apply
+ fourierIntegral_congr_ae
+ fourier_congr_ae
+ instance : ContinuousEval C₀(α, β) α β
+ instance : ContinuousEvalConst C₀(α, β) α β := inferInstance
+ lipschitz_eval_const
+ norm_fourier_Lp_top_leq_toLp_one
+ norm_fourier_apply_le_toLp_one
+ norm_fourier_toBoundedContinuousFunction_le_toLp_one
+ norm_fourier_toZeroAtInfty_le_toLp_one
+ norm_toBoundedContinuousFunction_le
+ norm_toLp'
+ norm_toLp_one
+ norm_toLp_top_le
+ norm_toZeroAtInfty
+ riemann_lebesgue
You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>The doc-module for scripts/declarations_diff.sh contains some details about this script.
No changes to technical debt.
You can run this locally as
./scripts/technical-debt-metrics.sh pr_summary
- The
relativevalue is the weighted sum of the differences with weight given by the inverse of the current value of the statistic. - The
absolutevalue is therelativevalue divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).
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This pull request has conflicts, please merge |
The Riemann-Lebesgue lemma is merely a side note of the fact that we need to relate the extension of the Schwartz Fourier transform to L1 to the original one. RL on Schwartz is trivial by embedding into the correct space.