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feat: canonical decomposition of complex-meromorphic functions on disks#37477

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kebekus:kebekus/canonicalDecomp.1
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feat: canonical decomposition of complex-meromorphic functions on disks#37477
kebekus wants to merge 3 commits intoleanprover-community:masterfrom
kebekus:kebekus/canonicalDecomp.1

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@kebekus kebekus commented Apr 1, 2026

Establish the Finite Canonical Decomposition of meromorphic functions, where a complex-meromorphic function f on a disk is written as a product of an analytic function without zeros and poles, and canonical factors that take only values of norm one on the boundary of the disk.

A future PR will extend this theorem to handle zeros/poles on the boundary of the disk.


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github-actions bot commented Apr 1, 2026

PR summary 39f5a673b2

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ _root_.MeromorphicOn.congr_codiscreteWitin_closedBall_prod_canonicalFactor
+ canonicalDecomposition_aux₁
+ canonicalDecomposition_aux₂
+ canonicalDecomposition_aux₃
+ divisor_canonicalFactor
+ exists_meromorphicOrderAt_ne_top_iff_forall_mem
+ meromorphicOrderAt_canonicalFactor_ne_top
+ meromorphicOrderAt_finprod_ne_top
+ nonneg_of_mem_closedBall
+ sum_apply_smul_single_eq_self
+ zero_canonicalFactor_iff

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 relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@kebekus kebekus changed the title feat: canonical decomposition feat: canonical decomposition of complex-meromorphic functions on disks Apr 1, 2026
@kebekus kebekus added t-analysis Analysis (normed *, calculus) labels Apr 1, 2026
@kebekus kebekus marked this pull request as ready for review April 1, 2026 09:20
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