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Remarks on nonlocal trace expansion coefficients | Gerd Grubb
; | Date: |
3 Oct 2005 | Subject: | Analysis of PDEs; Spectral Theory MSC-class: 58J42, 35S05, 58J35 | math.AP math.SP | Abstract: | 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. | Source: | arXiv, math.AP/0510041 | Other source: | [GID 8712] math/0510041 | Services: | Forum | Review | PDF | Favorites |
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