Dixmier trace and the Fock space
classification
🧮 math.FA
math.CV
keywords
dixmierfockoperatorsspacetraceanalogousbelongclass
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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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