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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.
Rozenblum, Grigori (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Heinz O. Cordes (1986)
Revista Matemática Iberoamericana
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C. Parenti, L. Rodino (1983)
Banach Center Publications
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B. W. Schulze (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Boris Sternin (2011)
Open Mathematics
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We consider a class of nonlocal operators associated with an action of a compact Lie group G on a smooth closed manifold. Ellipticity condition and Fredholm property for elliptic operators are obtained. This class of operators is studied using pseudodifferential uniformization, which reduces the problem to a pseudodifferential operator acting in sections of infinite-dimensional bundles.
Bernhelm Booss, Bert Schulze (1983)
Banach Center Publications
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Boris Fedosov, Bert-Wolfgang Schulze, Nikolai Tarkhanov (2002)
Annales de l’institut Fourier
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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...