Bernstein-Sato identities and conformal symmetry breaking operators
Matthias Fischmann, Bent {\O}rsted, Petr Somberg
TL;DR
This paper develops Bernstein-Sato identities for various distribution kernels related to conformal symmetry breaking operators, leading to new formulas for these operators on functions, spinors, and forms.
Contribution
It introduces Bernstein-Sato identities for distribution kernels associated with conformal symmetry breaking, providing novel formulas for related differential operators.
Findings
New Bernstein-Sato identities for scalar, spinor, and form kernels
Partially new formulas for conformal symmetry breaking differential operators
Applications to functions, spinors, and differential forms
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.
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