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- 1998 (37) (remove)
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- English (37)
Keywords
- manifolds with singularities (3)
- 'eta' invariant (2)
- Fredholm property (2)
- differential operators (2)
- elliptic complexes (2)
- index (2)
- pseudodifferential operators (2)
- Atiyah-Patodi-Singer theory (1)
- Chern character (1)
- Fredholm operators (1)
Institute
We introduce a natural symmetry condition for a pseudodifferential operator on a manifold with cylindrical ends ensuring that the operator admits a doubling across the boundary. For such operators we prove an explicit index formula containing, apart from the Atiyah-Singer integral, a finite number of residues of the logarithmic derivative of the conormal symbol.
The paper is devoted to pseudodifferential boundary value problems in domains with cuspidal wedges. Concerning the geometry we even admit a more general behaviour, namely oscillating cuspidal wedges. We show a criterion for the Fredholm property of a boundary value problem and derive estimates of solutions close to edges.