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arXiv · 1107.3254

Dixmier trace and the Fock space

Helene Bommier-Hato·Miroslav Englis·El-Hassan Youssfi
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Abstract

We give criteria for products of Toeplitz and Hankel operators on the Fock (Segal-Bargmann) space to belong to the Dixmier class, and compute their Dixmier trace. At the same time, analogous results for the Weyl pseudodifferential operators are also obtained.

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Helene Bommier-Hato, Miroslav Englis, El-Hassan Youssfi. 2011-07-16. Dixmier trace and the Fock space. https://arxiv.org/abs/1107.3254

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