Realization of quaternionic discrete series on the unit ball in H^d
Artikel i vetenskaplig tidskrift, 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
Författare
Heping Liu
Beijing University of Technology
Genkai Zhang
Chalmers, Matematiska vetenskaper, Matematik
Göteborgs universitet
Journal of Functional Analysis
0022-1236 (ISSN) 1096-0783 (eISSN)
Vol. 262 7 2979-3005Ämneskategorier (SSIF 2011)
Matematik
DOI
10.1016/j.jfa.2011.12.019