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In this paper we provide sharp results for the Dixmier traceability of discrete pseudo-differential operators on $$\ell ^2({\mathbb {Z}}^n)$$ ℓ 2 ( Z n ) . In this setting, we… Click to show full abstract
In this paper we provide sharp results for the Dixmier traceability of discrete pseudo-differential operators on $$\ell ^2({\mathbb {Z}}^n)$$ ℓ 2 ( Z n ) . In this setting, we introduce a suitable notion of a class of classical symbols which provide a class of Dixmier traceable discrete pseudo-differential operators. We also present a formula for the Dixmier trace of a Dixmier traceable discrete pseudo-differential operator by using the Connes equivalence between the Wodzicki residue and the Dixmier trace.
Keywords:
differential operators;
discrete pseudo;
pseudo differential;
dixmier traces
Journal Title: Journal of Pseudo-Differential Operators and Applications
Year Published: 2019
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Journal Title: Journal of Pseudo-Differential Operators and Applications
Year Published: 2019
Link to full text (if available)
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recommendations!