Miercoles 7 de octubre, 16hs. Aula Magna
Título: «Spherical transforms and spectral analysis of differential operators»
Resumen: I will introduce two different topics fitting inside in the title.
Given a connected Lie group $G$ of polynomial volume growth and a self-adjoint sublaplacian on it, it is possible to introduce a sort of Plancherel measure on the nonnegative half-line which allows to define a spherical-like transform associated with the operator. I will present results obtained by my student Leonardo Tolomeo in his undergraduate thesis.
The second topic is an insight into the spherical transform of a given $K$-type on a nilpotent Gelfand pair $(N,K)$. The results are joint work with Amit Samanta.