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

VIDAL, R. E.

Córdoba

Congreso; Harmonic analysis and special functions in mathematical physics; 2023

FaMAF, UNC y CIEM

In this presentation,we present the results obtained in collaboration with Isolda Cardoso and Mauro Sublis from Universidad Nacional de Rosario, Argentina. We give a method to be find explicitly the fundamental solution of the pseudo differentiable operator $\mathcal{L}_\alpha:=L+\alpha|T|$ on the Heisenberg group $\mathbb{H}_{n}$, where $L$ represents the sublaplacian in $\mathbb{H}_{n}$ and $T$ denotes the central element of the Heisenberg Lie algebra.