Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A product expansion for Toeplitz operators on the Fock space
HTML articles powered by AMS MathViewer

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.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 47B35, 46L65, 30H20
  • Retrieve articles in all journals with MSC (2010): 47B35, 46L65, 30H20
Additional Information
  • Raffael Hagger
  • Affiliation: Institut für Analysis, Leibniz Universität Hanover, 30167 Hannover, Germany
  • MR Author ID: 1116916
  • Email: raffael.hagger@math.uni-hannover.de
  • Received by editor(s): August 30, 2018
  • Received by editor(s) in revised form: February 8, 2019
  • Published electronically: June 10, 2019
  • Communicated by: Stephan Ramon Garcia
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 4823-4833
  • MSC (2010): Primary 47B35; Secondary 46L65, 30H20
  • DOI: https://doi.org/10.1090/proc/14661
  • MathSciNet review: 4011516