A Product Expansion for Toeplitz Operators on the Fock Space
Functional Analysis
2019-05-02 v2 Mathematical Physics
math.MP
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 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.
Keywords
Cite
@article{arxiv.1808.10376,
title = {A Product Expansion for Toeplitz Operators on the Fock Space},
author = {Raffael Hagger},
journal= {arXiv preprint arXiv:1808.10376},
year = {2019}
}
Comments
11 pages; corrected an error concerning regularity assumptions