25 citations · 70 across the 16 of their papers we have counts for
19 papers
The source operator method: an overview
Salem Ben Saïd, Jean-Louis Clerc, Khalid Koufany
This is an overview on the {source operator method} which leads to the construction of symmetry breaking differential operators (SBDO) in the context of tensor product of two princ…
Vector-valued holomorphic discrete series and the Laplace transform : an example
Jean-Louis Clerc
For T a Hermitian symmetric tube-type domain, a family ( ) C of holomorphic vector-valued representations is studied. The corresponding Wallach set is determined.…
Construction à la Ibukiyama of symmetry breaking differential operators, I
Jean-Louis Clerc
The construction of symmetry breaking differential operators, using invariant pluri-harmonic polynomials, due to T. Ibukiyama in the context of the Siegel upper half space, is exte…
Symmetry Breaking Differential Operators for Tensor Products of Spinorial Representations
Jean-Louis Clerc, Khalid Koufany
Let be a Clifford module for the complexified Clifford algebra , its dual, and be the corresponding representations o…
Rankin-Cohen brackets on tube-type domains
Jean-Louis Clerc
A new formula is obtained for the holomorphic bi-differential operators on tube-type domains which are associated to the decomposition of the tensor product of two scalar holomorph…
Symmetry breaking differential operators, the source operator and Rodrigues formulæ
Jean-Louis Clerc
A Rodrigues type formula is obtained for the symbols of the covariant bi-differential operators on a simple Jordan algebra.