Uniqueness of the Kontsevich-Vishik Trace
| dc.creator | Maniccia, Lidia | |
| dc.creator | Schrohe, Elmar | |
| dc.creator | Seiler, Joerg | |
| dc.date | 2007-02-09 | |
| dc.date.accessioned | 2026-07-07T07:45:47Z | |
| dc.date.available | 2026-07-07T07:45:47Z | |
| dc.description | Let M be a closed manifold. We show that the Kontsevich-Vishik trace, which is defined on the set of all classical pseudodifferential operators on M, whose (complex) order is not an integer greater than or equal to -dim M, is the unique functional which (i) is linear on its domain, (ii) has the trace property and (iii) coincides with the L^2-operator trace on trace class operators. Also the extension to even-even pseudodifferential operators of arbitrary integer order on odd-dimensional manifolds and to even-odd pseudodifferential operators of arbitrary integer order on even-dimensional manifolds is unique. | |
| dc.identifier | https://arxiv.org/abs/math/0702250 | |
| dc.identifier | http://arxiv.org/abs/math/0702250 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123644 | |
| dc.subject | Functional Analysis | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 58J40, 58J42, 35S05 | |
| dc.title | Uniqueness of the Kontsevich-Vishik Trace | |
| dc.type | text |