Remarks on nonlocal trace expansion coefficients
| dc.creator | Grubb, Gerd | |
| dc.date | 2005-10-03 | |
| dc.date | 2005-12-19 | |
| dc.date.accessioned | 2026-07-07T06:47:08Z | |
| dc.date.available | 2026-07-07T06:47:08Z | |
| dc.description | In a recent work, Paycha and Scott establish formulas for all the Laurent coefficients of Tr(AP^{-s}) at the possible poles. In particular, they show a formula for the zero'th coefficient at s=0, in terms of two functions generalizing, respectively, the Kontsevich-Vishik canonical trace density, and the Wodzicki-Guillemin noncommutative residue density of an associated operator. The purpose of this note is to provide a proof of that formula relying entirely on resolvent techniques (for the sake of possible generalizations to situations where powers are not an easy tool). - We also give some corrections to transition formulas used in our earlier works. | |
| dc.description | Minor corrections. To appear in a proceedings volume in honor of K. Wojciechowski, "Analysis and Geometry of Boundary Value Problems", World Scientific, 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510041 | |
| dc.identifier | http://arxiv.org/abs/math/0510041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103558 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Spectral Theory | |
| dc.subject | 58J42, 35S05, 58J35 | |
| dc.title | Remarks on nonlocal trace expansion coefficients | |
| dc.type | text |