Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668864 | Bulletin des Sciences Mathématiques | 2013 | 45 Pages |
Abstract
The Laplacian and Ornstein-Uhlenbeck operators on the finite dimensional complex ball are obtained from the infinitesimal holomorphic representation of the group U(n,1). We compare the invariant measures for these operators with the unitarizing measures of the discrete series representation. Then with Hua differential calculus, we show how to extend the results to domains with matrix elements.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Hélène Airault, Abdelhamid Boussejra,