%0 Journal Article
%T Wodzicki Residue for Operators on Manifolds with Cylindrical Ends
%A U. Battisti
%A S. Coriasco
%J Mathematics
%D 2010
%I arXiv
%R 10.1007/s10455-011-9255-3
%X We define the Wodzicki Residue TR(A) for A in a space of operators with double order (m_1,m_2). Such operators are globally defined initially on R^n and then, more generally, on a class of non-compact manifolds, namely, the manifolds with cylindrical ends. The definition is based on the analysis of the associate zeta function. Using this approach, under suitable ellipticity assumptions, we also compute a two terms leading part of the Weyl formula for a positive selfadjoint operator belonging the mentioned class in the case m_1=m_2.
%U http://arxiv.org/abs/1002.2804v2