A quantum harmonic analysis approach to the Berger-Coburn theorem

Published 30 Oct 2024 in math.FA | (2410.23255v1)

Abstract: We use quantum harmonic analysis for densely defined operators to provide a simplified proof of the Berger-Coburn theorem for boundedness of Toeplitz operators. In addition, we revisit compactness and Schatten-class membership of densely defined Toeplitz operators.

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