A product expansion for Toeplitz operators on the Fock space

Hagger, R. (2019) A product expansion for Toeplitz operators on the Fock space. Proceedings of the American Mathematical Society, 147 (11). pp. 4823-4833. ISSN 0002-9939 doi: 10.1090/proc/14661

Abstract/Summary

We study the asymptotic expansion of the product of two Toeplitz operators on the Fock space. In comparison to earlier results we require significantly less derivatives and get the expansion to arbitrary order. This, in particular, improves a result of Borthwick related to Toeplitz quantization. In addition, we derive an intertwining identity between the Berezin star product and the sharp product.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/84031
Identification Number/DOI	10.1090/proc/14661
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	American Mathematical Society
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