Title of article
Non-commutative residues for anisotropic pseudo-differential operators in Rn
Author/Authors
Paolo Boggiatto، نويسنده , , Fabio Nicola، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
16
From page
305
To page
320
Abstract
In this paper we define a non-commutative residue for the algebra of classical anisotropic pseudo-differential operators on Rn modulo regularizing operators. Furthermore, by means of the Weyl formula, we show that this trace coincides with the Dixmier trace on operators of order −|M|.
Keywords
Pseudo-differential operators , Non-commutative residue , Dixmier trace
Journal title
Journal of Functional Analysis
Serial Year
2003
Journal title
Journal of Functional Analysis
Record number
761657
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