4 papers
The ordered F-system for the F-method and differential symmetry breaking operators for
Jonathan Ditlevsen, Toshihisa Kubo, Víctor Pérez-Valdés
In this paper, we introduce a new aspect of the F-system for the F-method arising in the case where the nilpotent radical is not necessarily abelian. For this, we define the symmet…
The truncated symbol of a differential symmetry breaking operator
Toshihisa Kubo, Víctor Pérez-Valdés
In this paper, we introduce the truncated symbol of a differential symmetry breaking operator between parabolically induced representations. This generalizes the symbol map, which…
On sporadic symmetry breaking operators for principal series representations of the de Sitter and Lorentz groups
Víctor Pérez-Valdés
In this paper, we construct and classify all differential symmetry breaking operators between certain principal series representations of the pair . In…
Construction and classification of differential symmetry breaking operators for principal series representations of the pair for special parameters
Víctor Pérez-Valdés
We construct and give a complete classification of all the differential symmetry breaking operators $\mathbb{D}_{λ, ν}^{N,m}: C^\infty(S^3, \mathcal{V}_λ^{2N+1}) \rightarrow C^\inf…