Orateur
Serena Federico
(University of Bologna)
Description
In this talk we will discuss a class of symmetric pseudo-differential calculi on graded nilpotent Lie groups using the Hörmander symbol classes introduced by V. Fisher and M. Ruzhansky. Among the quantizations generating these calculi, we shall identify a candidate Weyl quantization on general graded nilpotent Lie groups by comparison with the well-know Weyl quantization on Rn. Finally, we will see that in the case of the Heisenberg group our candidate Weyl quantization coincides with the only possible one.
