4 papers
Toeplitz operators and group-moment coordinates for quasi-elliptic and quasi-hyperbolic symbols
Raul Quiroga-Barranco, Armando Sanchez-Nungaray
For the -dimensional unit ball and its Siegel unbounded realization, we consider Toeplitz operators acting on weighted Bergman spaces with symbols invariant…
Toeplitz operators, pseudo-homogeneous symbols and moment maps on the complex projective space
Miguel Antonio Morales-Ramos, Raúl Quiroga-Barranco, Armando Sánchez-Nungaray
Following previous works for the unit ball, we define quasi-radial pseudo-homogeneous symbols on the projective space and obtain the corresponding commutativity results for Toeplit…
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…
Toeplitz Operators with Quasi-Homogeneuos Quasi-Radial Symbols on some Weakly Pseudoconvex Domains
Raul Quiroga-Barranco, Armando Sanchez-Nungaray
On the weakly pseudo-convex domains we introduce quasi-homogeneous quasi-radial symbols. These are used to prove the existence of a commutative Banach algebra of Toeplitz o…