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feat(analysis/convolution): prove associativity under more convenient assumptions

Open fpvandoorn opened this issue 2 years ago • 1 comments

  • Prove convolution_assoc which has as hypotheses things that are a lot more natural to check. The old version (that has a bit weaker assumptions) is renamed to convolution_assoc'
  • Generalize lemmas about double integrals to the case where we have 2 measures
  • Consistently use the is_add_right_invariant for groups that are not assumed to be abelian (previously I was inconsistent with this for lemmas that only use that multiplication is quasi measure preserving - which follows from either left- or right invariance).
  • I'm happy to change the definition of convolution so that it always plays well with left-invariant measures (instead of the current definition that plays well with right-invariant measures) in a follow-up PR.

  • [x] depends on: #16668
  • [x] depends on: #16913

Open in Gitpod

fpvandoorn avatar Sep 29 '22 13:09 fpvandoorn

This PR/issue depends on:

  • ~~leanprover-community/mathlib#16668~~
  • ~~leanprover-community/mathlib#16913~~ By Dependent Issues (🤖). Happy coding!

Thanks!

bors merge

ocfnash avatar Oct 21 '22 14:10 ocfnash

Build failed:

bors[bot] avatar Oct 21 '22 14:10 bors[bot]

bors merge

PatrickMassot avatar Oct 23 '22 21:10 PatrickMassot

Pull request successfully merged into master.

Build succeeded:

bors[bot] avatar Oct 24 '22 01:10 bors[bot]