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Toeplitz operators in polyanalytic Bergman type spaces

Toeplitz operators in polyanalytic Bergman type spaces

We consider Toeplitz operators in Bergman and Fock type spaces of polyanalytic L2-functions on the disk or on the half-plane with respect to the Lebesgue measure (resp., on C with the plane Gaussian measure). The structure involving creation and annihilation operators, similar to the classical one present for the Landau …