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[Merged by Bors] - feat(Analysis/Distribution/SchwartzMap): projection to ZeroAtInfty and corresponding type class #9987

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@mcdoll mcdoll commented Jan 25, 2024

Adds a characterization of ZeroAtInfty in terms of norms and uses one direction to show that every Schwartz function is zero at infinity.
We also add a few lemmas that characterize elements of the cocompact filter in terms of norm estimates.


Part of a project to prove integration by parts for the partial derivatives on Schwartz space.

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@mcdoll mcdoll added awaiting-CI t-analysis Analysis (normed *, calculus) labels Jan 25, 2024
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added the merge-conflict The PR has a merge conflict with master, and needs manual merging. label Jan 25, 2024
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@mcdoll mcdoll added awaiting-review The author would like community review of the PR awaiting-CI labels Jan 29, 2024
@mcdoll mcdoll added the WIP Work in progress label Feb 2, 2024
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bors d+

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mathlib-bors bot commented Feb 5, 2024

✌️ mcdoll can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added delegated and removed awaiting-review The author would like community review of the PR labels Feb 5, 2024
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mcdoll commented Feb 8, 2024

bors merge

mathlib-bors bot pushed a commit that referenced this pull request Feb 8, 2024
…d corresponding type class (#9987)

Adds a characterization of ZeroAtInfty in terms of norms and uses one direction to show that every Schwartz function is zero at infinity.
We also add a few lemmas that characterize elements of the `cocompact` filter in terms of norm estimates.
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mathlib-bors bot commented Feb 8, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Analysis/Distribution/SchwartzMap): projection to ZeroAtInfty and corresponding type class [Merged by Bors] - feat(Analysis/Distribution/SchwartzMap): projection to ZeroAtInfty and corresponding type class Feb 8, 2024
@mathlib-bors mathlib-bors bot closed this Feb 8, 2024
@mathlib-bors mathlib-bors bot deleted the mcdoll/schwartz_c_0 branch February 8, 2024 06:50
atarnoam pushed a commit that referenced this pull request Feb 9, 2024
…d corresponding type class (#9987)

Adds a characterization of ZeroAtInfty in terms of norms and uses one direction to show that every Schwartz function is zero at infinity.
We also add a few lemmas that characterize elements of the `cocompact` filter in terms of norm estimates.
dagurtomas pushed a commit that referenced this pull request Mar 22, 2024
…d corresponding type class (#9987)

Adds a characterization of ZeroAtInfty in terms of norms and uses one direction to show that every Schwartz function is zero at infinity.
We also add a few lemmas that characterize elements of the `cocompact` filter in terms of norm estimates.
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