Realization of quaternionic discrete series on the unit ball in H^d
Journal article, 2012
We give a realization for the quaternionic discrete series for the group Sp(1, d) as the kernel of certain
elementary Cauchy–Riemann–Fueter operator, and we compute the corresponding reproducing kernels.
Reproducing kernels
Quaternionic discrete series
Lie groups
Symmetric spaces
Author
Heping Liu
Beijing University of Technology
Genkai Zhang
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
Journal of Functional Analysis
0022-1236 (ISSN) 1096-0783 (eISSN)
Vol. 262 7 2979-3005Subject Categories
Mathematics
DOI
10.1016/j.jfa.2011.12.019