Wodzicki Residue for Operators on Manifolds with Cylindrical Ends
Functional Analysis
2013-11-20 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1002.2804,
title = {Wodzicki Residue for Operators on Manifolds with Cylindrical Ends},
author = {U. Battisti and S. Coriasco},
journal= {arXiv preprint arXiv:1002.2804},
year = {2013}
}
Comments
24 pages, picture changed, added references, corrected typos