Conformally equivariant quantization: existence and uniqueness
Conformally equivariant quantization: existence and uniqueness
We prove the existence and the uniqueness of a conformally equivariant symbol calculus and quantization on any conformally flat pseudo-riemannian manifold (M,g). In other words, we establish a canonical isomorphism between the spaces of polynomials on T * M and of differential operators on tensor densities over M, both viewed …