M. A. Rodriguez

A localization framework for $\mathbb{T}^m$-Invariant Toeplitz Algebras: Applications to Gelfand Theory

We study $\mathbb T^m$-invariant Toeplitz operators on weighted Bergman spaces over the unit ball. A natural unitary transformation represents each such operator as a direct sum of restrictions of Toeplitz operators acting on a polyball. Under an $L^\infty$-valued angular continuity assumption, the corresponding symbol...