Chang, Der Chen et Tie, Jing Zhi, A Note on Hermite and Subelliptic Operators, Acta mathematica Sinica. English series (Print) , 21(4), 2005, pp. 803-818
In this note, we compute the fundamental solution for the Hermite operator with singularity at an arbitrary point yn. We also apply this result to obtain the fundamental solutions for the Grushin operator in 2 and the sub-Laplacian in the Heisenberg group H n .