A product expansion for Toeplitz operators on the Fock space

Hagger, Raffael

doi:10.1090/proc/14661

A product expansion for Toeplitz operators on the Fock space
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by Raffael Hagger PDF

Proc. Amer. Math. Soc. 147 (2019), 4823-4833 Request permission

Abstract:

We study the asymptotic expansion of the product of two Toeplitz operators on the Fock space. In comparison to earlier results we require significantly fewer 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.

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