The Index of Cusp Operators on Manifolds with Corners

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作者
Robert Lauter
Sergiu Moroianu
机构
[1] Universitäat Mainz,Fachbereich 17 – Mathematik
[2] Institutul de Matematică al Academiei Române,undefined
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manifolds with multi-cuspidal singularities; degenerate pseudodifferential operators; residue traces; eta-invariants; index formulas;
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摘要
We recall a Fredholm criterion for fully elliptic cusp(pseudo)differential operators on a compact manifold with corners ofarbitrary codimension, acting on suitable Sobolev spaces. Then we give aformula for the index in terms of regularized `trace' functionalssimilar to the residue trace of Wodzicki and Guillemin.
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页码:31 / 49
页数:18
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