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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

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To link to this item 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
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:84031
Publisher:American Mathematical Society

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