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feat(analysis/convolution): prove associativity under more convenient assumptions
- 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 toconvolution_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
This PR/issue depends on:
- ~~leanprover-community/mathlib#16668~~
- ~~leanprover-community/mathlib#16913~~ By Dependent Issues (🤖). Happy coding!
Thanks!
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