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math.FA2021
Functional calculus and quantization commutes with reduction for Toeplitz operators on CR manifolds
Andrea Galasso, Chin-Yu Hsiao
Given a CR manifold with non-degenerate Levi form, we show that the operators of the functional calculus for Toeplitz operators are complex Fourier integral operators of Szegő type…
math.CV2021
Commutativity of quantization with conic reduction for torus actions on compact CR manifolds
Andrea Galasso
We define conic reduction for torus actions on the boundary of a strictly pseudo-convex domain and for a given weight labeling a unitary irreducible re…
math.CV2021
Toeplitz operators on CR manifolds and group actions
Andrea Galasso, Chin-Yu Hsiao
Let be a connected orientable compact CR manifold of dimension , with non-degenerate Levi curvature. In this paper, we study the algebra of Toeplit…