On some analytical index formulas related to operator-valued symbols
Electronic Journal of Differential Equations, Tome 2002 (2002).

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Summary: 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.
Classification : 35S05, 47G30, 58J20, 58J40
Keywords: pseudodifferential operators, index, cyclic cohomology
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     author = {Rozenblum, Grigori},
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Rozenblum, Grigori. On some analytical index formulas related to operator-valued symbols. Electronic Journal of Differential Equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a61/