Traces on pseudodifferential operators and sums of commutators

Details Traces on pseudodifferential operators and sums of commutators Traces on pseudodifferential operators and sums of commutators

2007-07-28

arxiv.org/abs/0707.4265v2

J. Anal. Math. 110 (2010) 1-30

Mathematics

Analysis of PDEs

References added, typos fixed. To appear in J. Anal. Math.. 22 pages

Scientific paper

The aim of this paper is to show that various known characterizations of traces on classical pseudodifferentials operators (PsiDOs) can actually be obtained by very elementary considerations on PsiDOs, using only basic properties of these operators. Thereby, we give a unified treatment of the determinations of the space of traces (i) on PsiDOs of noninteger orders or of regular parity-class, (ii) on integer order PsiDOs, (iii) on nonpositive order PsiDOs in dimension greather than or equal to 2, and (iv) on nonpositive order PsiDOs in dimension 1.

Affiliated with

Also associated with

No associations

Rating

Traces on pseudodifferential operators and sums of commutators 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 Traces on pseudodifferential operators and sums of commutators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Traces on pseudodifferential operators and sums of commutators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-230041