Toeplitz algebras and Rieffel deformations

We establish a representation theorem for Toeplitz operators on the Segal-Bargmann (Fock) space ofC ⁿ whose symbols have uniform radial limits. As an application of this result, we show that Toeplitz algebras on the open ball inC ⁿ are strict deformation quantizations, in the sense of M. Rieffel, of the continuous functions on the corresponding closed ball.