ar X iv : m at h / 05 10 45 4 v 1 [ m at h . D G ] 2 1 O ct 2 00 5 Stokes ’ formulae on classical symbol valued forms and applications


We show that the Wodzicki residue and the cut-off integral extend to classical symbol valued forms and that they obey a Stokes’ type property. The extended Wodzicki residue can be interpreted as a complex residue like the ordinary one. In the case of cut-off integrals, Stokes’ property (i.e. vanishing on exact forms) only holds for non integer order symbol… (More)


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