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[Merged by Bors] - feat(Analysis/Fourier): derivative of Fourier transform #9773

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This PR computes the Frechet derivative of the Fourier transform of a function on a real normed space, including special-case handling for functions on inner-product spaces and on the reals themselves.

Co-authored-by: Alex Kontorovich alex.kontorovich@rutgers.edu
Co-authored-by: Heather Macbeth hmacbeth1@fordham.edu


Based on a combination of some old code of mine with Alex and Heather's PR #9663

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@loefflerd loefflerd added awaiting-review The author would like community review of the PR t-analysis Analysis (normed *, calculus) labels Jan 16, 2024
@sgouezel sgouezel added awaiting-author A reviewer has asked the author a question or requested changes and removed awaiting-review The author would like community review of the PR labels Jan 16, 2024
@loefflerd loefflerd added awaiting-review The author would like community review of the PR and removed awaiting-author A reviewer has asked the author a question or requested changes labels Jan 16, 2024
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@hrmacbeth , @AlexKontorovich , do you have comments on the PR? Especially with respect to #9663?

Mathlib/Analysis/Fourier/FourierTransformDeriv.lean Outdated Show resolved Hide resolved
Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr>
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@hrmacbeth , @AlexKontorovich , do you have comments on the PR? Especially with respect to #9663?

Looks good to me! (I tried to close #9663, since this supersedes it...)

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sgouezel commented Feb 1, 2024

bors r+
Thanks!

@github-actions github-actions bot added ready-to-merge This PR has been sent to bors. and removed awaiting-review The author would like community review of the PR labels Feb 1, 2024
mathlib-bors bot pushed a commit that referenced this pull request Feb 1, 2024
This PR computes the Frechet derivative of the Fourier transform of a function on a real normed space, including special-case handling for functions on inner-product spaces and on the reals themselves.

Co-authored-by: Alex Kontorovich <alex.kontorovich@rutgers.edu>
Co-authored-by: Heather Macbeth <hmacbeth1@fordham.edu>
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mathlib-bors bot commented Feb 1, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Analysis/Fourier): derivative of Fourier transform [Merged by Bors] - feat(Analysis/Fourier): derivative of Fourier transform Feb 1, 2024
@mathlib-bors mathlib-bors bot closed this Feb 1, 2024
@mathlib-bors mathlib-bors bot deleted the DL_fourier_deriv branch February 1, 2024 09:38
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3 participants