Uniqueness of the Kontsevich-Vishik trace
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Publication:5431685
DOI10.1090/S0002-9939-07-09168-XzbMath1132.58018arXivmath/0702250OpenAlexW1980571831MaRDI QIDQ5431685
Elmar Schrohe, Lidia Maniccia, Joerg Seiler
Publication date: 20 December 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0702250
Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Noncommutative global analysis, noncommutative residues (58J42)
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Cites Work
- Unnamed Item
- Unnamed Item
- Local invariants of spectral asymmetry
- The local and global parts of the basic zeta coefficient for operators on manifolds with boundary
- On the noncommutative residue for pseudodifferential operators with log-polyhomogeneous symbols
- Traces and quasi-traces on the Boutet de Monvel algebra.
- The local index formula in noncommutative geometry
- A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
- Complex powers of classical SG-pseudodifferential operators
- The noncommutative residue for manifolds with boundary
- Critical metrics for the determinant of the Laplacian in odd dimensions