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math.OA2015
Commutative -algebras generated by Toeplitz operators on the super unit ball
R. Quiroga-Barranco, A. Sánchez-Nungaray
We extend known results about commutative -algebras generated Toeplitz operators over the unit ball to the supermanifold setup. This is obtained by constructing commutative $C…
math.OA2012
Toeplitz operators with quasi-radial quasi-homogeneous symbols and bundles of Lagrangian frames
Raul Quiroga-Barranco, Armando Sanchez-Nungaray
We prove that the quasi-homogenous symbols on the projective space yield commutative algebras of Toeplitz operators on all weighted Bergman spaces, thus…