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Index formulas for stratified manifolds. (English. Russian original) Zbl 1205.35351
Differ. Equ. 46, No. 8, 1145-1156 (2010); translation from Differ. Uravn. 46, No. 8, 1135-1146 (2010).
Summary: We consider elliptic operators on stratified manifolds with a stratification of arbitrary length. Under some (symmetry-like) conditions imposed on the symbols of these operators, we obtain index formulas in which the index of an operator is expressed as the sum of indices of some (explicitly written out) elliptic operators on the strata.
##### MSC:
 35S05 Pseudodifferential operators as generalizations of partial differential operators 58J40 Pseudodifferential and Fourier integral operators on manifolds 47G30 Pseudodifferential operators
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##### References:
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