Pointwise and uniform bounds for functions of the Laplacian on non-compact symmetric spaces

Yulia Kuznetsova, Zhipeng Song

Let $L$ be the distinguished Laplacian on the Iwasawa $AN$ group associated with a semisimple Lie group $G$. Assume $F$ is a Borel function on ${\mathbb{R}}^{+}$. We give a condition o…