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Analytic index formulas for elliptic corner operators

Boris FedosovBert-Wolfgang SchulzeNikolai Tarkhanov — 2002

Annales de l’institut Fourier

Spaces with corner singularities, locally modelled by cones with base spaces having conical singularities, belong to the hierarchy of (pseudo-) manifolds with piecewise smooth geometry. We consider a typical case of a manifold with corners, the so-called "edged spindle", and a natural algebra of pseudodifferential operators on it with special degeneracy in the symbols, the "corner algebra". There are three levels of principal symbols in the corner algebra, namely the interior,...

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