Abstract
We prove that for every Lie group there exists a basis in its Lie algebra such that for each ¿=1 and each of its unitary representations. The separate and joint Gevrey vectors of order ¿ coincide. As a corollary we obtain that a vector is a Gevrey vector if, and only if, the corresponding positive definite function is a Gevrey function.
| Original language | English |
|---|---|
| Title of host publication | Circumspice: Various papers in and around mathematics in honor of Arnoud van Rooij |
| Place of Publication | Nijmegen |
| Publisher | Radboud Universiteit Nijmegen |
| Pages | 221-232 |
| ISBN (Print) | 90-9014762-4 |
| Publication status | Published - 2001 |