Le peigne à Dirac et la brosse à Bezout

We construct a distribution on $\text{R}{}^2$, invariant under the linear action on $\text{R}{}^2$ of the group $\text{Γ=}\text{SL}\text{(2,}\text{Z}\text{)}$, whose decomposition into homogeneous terms depends on all non-holomorphic modular forms for the group Γ, and which plays a major role in the automorphic Weyl calculus.