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On the index of nonlocal elliptic operators. (English. Russian original) Zbl 1160.58010
Dokl. Math. 77, No. 3, 441-445 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 5, 592-597 (2008).
The authors study general nonlocal elliptic (pseudodifferential) operators induced by isometries of the base manifold. Analytic invariants, Bott periodicity and others related with the index of considered nonlocal elliptic operators are studied.

##### MSC:
 58J20 Index theory and related fixed-point theorems on manifolds 35S05 Pseudodifferential operators as generalizations of partial differential operators 46L05 General theory of $$C^*$$-algebras 47G30 Pseudodifferential operators 58J40 Pseudodifferential and Fourier integral operators on manifolds
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