Work

A quantum harmonic analysis approach to the Berger-Coburn theorem

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2410.23255

Authors: Dewage, Vishwa, Mitkovski, Mishko

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Uncertainty Principles in Reproducing Kernel Hilbert Spaces

OpenAlex ID: W4404343333

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