Bernstein-Sato identities and conformal symmetry breaking operators

Abstract

We present Bernstein-Sato identities for scalar-, spinor- and differential form-valued distribution kernels on Euclidean space associated to conformal symmetry breaking operators. The associated Bernstein-Sato operators lead to partially new formulae for conformal symmetry breaking differential operators on functions, spinors and differential forms.

Keywords

• Riesz distribution
• Intertwining operator
• Conformal symmetry breaking (differential) operator
• Bernstein-Sato operator