Geodesic
An analytic formula for the index of an elliptic boundary-value problem
Sbornik. Mathematics, Tome 22 (1974) no. 1, pp. 61-90 Cet article a éte moissonné depuis la source Math-Net.Ru

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An expression is obtained for an elliptic boundary-value problem $(A,B)$ in the form of a sum of two terms, one of which depends only on the properties of the operator $A$ at interior points of the domain, while the second depends on properties of $A$ and $B$ on the boundary. Each term is the difference of the traces of operators effectively constructed from $A$ and $B$. Bibliography: 11 titles. 
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B. V. Fedosov. An analytic formula for the index of an elliptic boundary-value problem. Sbornik. Mathematics, Tome 22 (1974) no. 1, pp. 61-90. http://geodesic.mathdoc.fr/item/SM_1974_22_1_a4/

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