feat: Poisson Integral Formula for the circle average of log ‖· - ρ‖#36938
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kebekus wants to merge 4 commits intoleanprover-community:masterfrom
Open
feat: Poisson Integral Formula for the circle average of log ‖· - ρ‖#36938kebekus wants to merge 4 commits intoleanprover-community:masterfrom
log ‖· - ρ‖#36938kebekus wants to merge 4 commits intoleanprover-community:masterfrom
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PR summary cf61572730
|
| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.Analysis.Complex.JensenFormula | 2649 | 2651 | +2 (+0.08%) |
Import changes for all files
| Files | Import difference |
|---|---|
5 filesMathlib.Analysis.Complex.JensenFormula Mathlib.Analysis.Complex.ValueDistribution.CharacteristicFunction Mathlib.Analysis.Complex.ValueDistribution.FirstMainTheorem Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Asymptotic Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic |
2 |
Declarations diff
+ circleAverage_re_herglotzRieszKernel_mul_log
+ circleAverage_re_herglotzRieszKernel_mul_log₀
+ const_mul_norm_sub_circleMap_le_norm_sub_circleMap
+ continuousAt_herglotzLogIntegrand
+ continuous_herglotzLogIntegrand_circle
+ herglotzLogIntegrand
+ herglotzLogIntegrand_circleAverage_tendsto
+ herglotzRieszKernel_add_const
+ norm_herglotzLogIntegrand_circleMap_le
You can run this locally as follows
## summary with just the declaration names:
./scripts/pr_summary/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/pr_summary/declarations_diff.sh long <optional_commit>The doc-module for scripts/pr_summary/declarations_diff.sh contains some details about this script.
No changes to technical debt.
You can run this locally as
./scripts/reporting/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).
kebekus
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log ‖· - ρ‖log ‖· - ρ‖
sgouezel
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Mar 26, 2026
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Establish an analogue of the Poisson Integral Formula for the circle average of
log ‖· - ρ‖along the circle with radius‖ρ‖.The result will be used to establish Poisson's generalization of the classic Jensen formula in complex analysis.