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math.RT2014
A Survey of Amenability Theory for Direct-Limit Groups
Matthew Dawson, Gestur Ólafsson
We survey results from amenability theory with an emphasis on applications to harmonic analysis on direct-limit groups.
math.OA2014
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 -algebras generated by Toeplitz operators acting on any weighted Bergman space. The symbols of th…