Dixmier trace and the Fock space

2011/07/16 by Helene Bommier-Hato, Hélène Bommier-Hato, Miroslav Engliš +6
Mathematics · #30H20 #47B10 #47B35 #47G30 #Advanced Algebra and Geometry #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #math.CV #math.FA #msc:30H20 #msc:47B10 #msc:47B35 #msc:47G30

paper · pdf · doi:10.48550/arxiv.1107.3254

23 pages, no figures

arxiv created 2011/07/16 · openalex publication_date 2011/07/16 · arxiv updated 2011/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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