leanprover-community/mathlib4

The Gaussian as a Schwartz function

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#33,072 opened on Dec 19, 2025

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good first issuet-analysis

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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

Research direction
Study the existing Schwartz function definitions in mathlib4 and the Gaussian function for positive definite bilinear forms. Start by implementing the 1 dimensional case, then generalize. Look at related files and examples for guidance.
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None
Domain
backend
Issue type
Feature
DifficultyEstimated implementation difficulty for a new contributor, from 1 for very small changes to 5 for expert-level work.
3
Estimated timeA rough time range for an experienced contributor to investigate, implement, test, and prepare a pull request.
1-3 hours
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Active
ClarityHow clearly the issue explains the expected change, acceptance criteria, and next step.
Needs investigation
Prerequisites
Lean
Newbie friendlinessA 1-100 score estimating how approachable this issue is for first-time contributors.
40