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Residue Traces for a Pseudodifferential Operator Algebra on Foliated Manifolds
Authors:Fabio?Nicola  author-information"  >  author-information__contact u-icon-before"  >  mailto:nicola@dm.unito.it"   title="  nicola@dm.unito.it"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123 Torino, Italy. E-mail: nicola@dm.unito.it, IT
Abstract:In this paper a trace functional is defined for the algebra of classical anisotropic pseudo-differential operators on a compact foliated manifold. Furthermore, by means of the Weyl formula, a formula is proved specifying the link between this trace and Dixmier's trace. Submitted: June 11, 2001?Revised: February 17, 2002
Keywords:Mathematics Subject Classification (2000). Primary 58J42   Secondary 35S05.?. Noncommutative residue, trace functionals, pseudo-differential operators.
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