Geodesic
Transfer of an extension of the~algebra of pseudodifferential operators, and some nonlocal elliptic problems
Sbornik. Mathematics, Tome 81 (1995) no. 2, pp. 363-396

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Finiteness theorems (the Fredholm property) are proved in this paper for a certain class of elliptic problems. The operators corresponding to these problems are obtained as the elements of an extension of the set of pseudodifferential operators via a special class of (nonlocal) operators. 
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     author = {B. Yu. Sternin and V. E. Shatalov},
     title = {Transfer of an extension of the~algebra of pseudodifferential operators, and some nonlocal elliptic problems},
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B. Yu. Sternin; V. E. Shatalov. Transfer of an extension of the~algebra of pseudodifferential operators, and some nonlocal elliptic problems. Sbornik. Mathematics, Tome 81 (1995) no. 2, pp. 363-396. http://geodesic.mathdoc.fr/item/SM_1995_81_2_a5/