Abstract:

The authors mainly focused their attention on the Riesz means of the eigenvalues of subelliptic Laplacian on the Heisenberg group, established the trace formula of associated eigenvalues, then obtained the corresponding Riesz means. We can use the Riesz means to study discrete spectrum of subelliptic Laplacian on the Heisenberg group, to establish inequalitiy for Riesz means of the eigenvalues of operators and to estimate eigenvalues.

Key words: Heisenberg group, Riesz means, Lie bracket, subelliptic Laplacian