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• W3158152300 abstract "Abstract We discuss an extension of Toeplitz quantization based on polyanalytic functions. We derive isomorphism theorem for polyanalytic Toeplitz operators between weighted Sobolev-Fock spaces of polyanalytic functions, which are images of modulation spaces under polyanalytic Bargmann transforms. This generalizes well-known results from the analytic setting. Finally, we derive an asymptotic symbol calculus and present an asymptotic expansion of complex Weyl operators in terms of polyanalytic Toeplitz operators." @default.
• W3158152300 created "2021-05-10" @default.
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• W3158152300 date "2021-05-06" @default.
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• W3158152300 title "Polyanalytic Toeplitz Operators: Isomorphisms, Symbolic Calculus and Approximation of Weyl Operators" @default.
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• W3158152300 doi "https://doi.org/10.1007/s00041-021-09843-0" @default.
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