Commuting Toeplitz Operators on Bounded Symmetric Domains and Multiplicity-Free Restrictions of Holomorphic Discrete Series

Matthew Dawson, Gestur Ólafsson, Raúl Quiroga-Barranco

For any given bounded symmetric domain, we prove the existence of commutative $C^{\ast }$-algebras generated by Toeplitz operators acting on any weighted Bergman space. The symbols of th…