leanprover-community / leanprover-community/mathlib4
The Gaussian as a Schwartz function
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Description
Define the Gaussian (for an arbitrary positive definite bilinear form) as a Schwartz function. It might be necessary to do the 1-d case first and then do the general case as a second step.
Contributor guide
First steps
- Read the whole issue, then the project's contributing guide.
- Comment on the issue to say you are picking it up — it saves two people doing the same work.
- Fork the repository and make your change on a branch.
- Open a pull request that references the issue number.
Research direction
Start by formalizing the one-dimensional Gaussian as a Schwartz function, then investigate the general case for an arbitrary positive definite bilinear form. Done means both cases are defined and established as Schwartz functions.
Written by the indexing model from the issue text.
Assessment
- Domain
- tooling
- Issue type
- Feature
- Difficulty
- 4/5
- Estimated time
- 3-5 days
- Activity status
- Stale
- Clarity
- Mostly clear
- Newbie friendliness
- 35/100