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Non-commutative residues for anisotropic pseudo-differential operators in <f>Rn</f>
- Source :
-
Journal of Functional Analysis . Oct2003, Vol. 203 Issue 2, p305. 16p. - Publication Year :
- 2003
-
Abstract
- In this paper we define a non-commutative residue for the algebra of classical anisotropic pseudo-differential operators on <f>Rn</f> modulo regularizing operators. Furthermore, by means of the Weyl formula, we show that this trace coincides with the Dixmier trace on operators of order <f>−|M|</f>. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 203
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 10741065
- Full Text :
- https://doi.org/10.1016/S0022-1236(03)00194-0