Explicit fundamental solution for the operator $L+\alpha |T|$ on the Gelfand pair $({\mathbb{H}}_n,U(n))$

Isolda E. Cardoso, Mauro Subils, Raúl E. Vidal

By means of the spherical functions associated to the Gelfand pair $({\mathbb{H}}_n,U(n))$ we define the operator $L+\alpha |T|$, where $L$ denotes the Heisenberg sublaplacian and $T$ de…