Geodesic
Elliptic pseudodifferential operators with a~finite group of shifts
Izvestiya. Mathematics , Tome 7 (1973) no. 3, pp. 661-673.

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For pseudodifferential operators with a finite group of shifts we construct a theory analogous to the theory of elliptic pseudodifferential operators on a closed manifold. We will find conditions under which the operators are Noetherian, and we will obtain a formula for the index. 
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A. B. Antonevich. Elliptic pseudodifferential operators with a~finite group of shifts. Izvestiya. Mathematics , Tome 7 (1973) no. 3, pp. 661-673. http://geodesic.mathdoc.fr/item/IM2_1973_7_3_a10/

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