Capelli identity and relative discrete series of line bundles over tube domains
Volume 55 / 2002
Banach Center Publications 55 (2002), 349-357
MSC: 17B20, 22E46, 43A90.
DOI: 10.4064/bc55-0-18
Abstract
We use the Capelli identity to give an explicit realization of some relative discrete series of the $L^2$-space of sections of a line bundle over a tube domain. This amounts to a geometric construction of some Opdam shift operators.
