Toeplitz algebras and Rieffel deformations

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