Abstract
The Berezin calculus is important to quantum mechanics (creation-annihilation operators) and operator theory (Toeplitz operators). We study the basic Berezin transform (linking the contravariant and covariant symbol) for all bounded symmetric domains, and express it in terms of invariant differential operators.
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Communicated by A. Jaffe
Supported in part by NSF-grant DMS 8702371
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Unterberger, A., Upmeier, H. The Berezin transform and invariant differential operators. Commun.Math. Phys. 164, 563–597 (1994). https://doi.org/10.1007/BF02101491
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DOI: https://doi.org/10.1007/BF02101491