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Commit 2022-10-23 22:06 1246edae

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feat(analysis/convolution): prove associativity under more convenient assumptions (#16706)

  • 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.

Estimated changes