Wodzicki Residue for Operators on Manifolds with Cylindrical Ends

Details Wodzicki Residue for Operators on Manifolds with Cylindrical Ends Wodzicki Residue for Operators on Manifolds with Cylindrical Ends

2010-02-14

arxiv.org/abs/1002.2804v2

Mathematics

Functional Analysis

24 pages, picture changed, added references, corrected typos

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Wodzicki Residue for Operators on Manifolds with Cylindrical Ends does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Wodzicki Residue for Operators on Manifolds with Cylindrical Ends, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wodzicki Residue for Operators on Manifolds with Cylindrical Ends will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-145705