Analytic index formulas for elliptic corner operators

Boris Fedosov; Bert-Wolfgang Schulze; Nikolai Tarkhanov

Displaying similar documents to “Analytic index formulas for elliptic corner operators”

Trace class pseudodifferential calculus with operator valued symbols and unusual index formulas

Grigori Rozenblum (2000-2001)

Séminaire Équations aux dérivées partielles

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For several classes of pseudodifferential operators with operator-valued symbol analytic index formulas are found. The common feature is that usual index formulas are not valid for these operators. Applications are given to pseudodifferential operators on singular manifolds.

Traces and quasi-traces on the Boutet de Monvel algebra

Gerd Grubb, Elmar Schrohe (2004)

Annales de l’institut Fourier

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We construct an analogue of Kontsevich and Vishik’s canonical trace for pseudodifferential boundary value problems in the Boutet de Monvel calculus on compact manifolds with boundary. For an operator $A$ in the calculus (of class zero), and an auxiliary operator $B$ , formed of the Dirichlet realization of a strongly elliptic second- order differential operator and an elliptic operator on the boundary, we consider the coefficient $C_{0} (A, B)$ of ${(- λ)}^{- N}$ in the asymptotic expansion of the resolvent trace $Tr (A {(B - λ)}^{- N})$ ...