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 representatio…
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…