9 Febbraio, 2022 14:15
Sezione di Analisi
Heat kernels and intertwining properties in Heisenberg-type groups
Giulio Tralli, Università di Padova
Aula Seminari III Piano
Abstract
In this talk we discuss the conformal fractional powers of the horizontal Laplacian in groups of Heisenberg type. We present a new approach, based on the heat kernels of suitable extension operators, to the derivation of the fundamental solutions for these nonlocal operators and to the explicit construction of the Aubin-Talenti type functions. Frequent comparisons with the Euclidean case of the powers of the Laplacian will be made, focusing on similarities and main differences. The talk is based on a joint project with N. Garofalo.