Geodesic
An analytic formula for the index of an elliptic boundary value problem. III
Sbornik. Mathematics, Tome 30 (1976) no. 3, pp. 341-359 Cet article a éte moissonné depuis la source Math-Net.Ru

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An expression is given for the index in the form of a sum of integrals over the bundle of unit cotangent vectors of a manifold and over the bundle of unit cotangent vectors of the boundary. The integrand forms are constructed explicitly from the leading symbols of the operators. Bibliography: 5 titles. 
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B. V. Fedosov. An analytic formula for the index of an elliptic boundary value problem. III. Sbornik. Mathematics, Tome 30 (1976) no. 3, pp. 341-359. http://geodesic.mathdoc.fr/item/SM_1976_30_3_a4/

[1] M. F. Atya, Lektsii po $K$-teorii, izd-vo «Mir», Moskva, 1967 | MR

[2] M. F. Atya, I. M. Zinger, “Indeks ellipticheskikh operatorov, III”, Uspekhi matem. nauk, XXIV:1 (145) (1969), 127–132

[3] B. V. Fedosov, “Analiticheskie formuly indeksa ellipticheskikh operatorov”, Trudy mosk. matem. ob-va, XXX (1974), 159–241 | MR

[4] B. V. Fedosov, “Analiticheskaya formula dlya indeksa ellipticheskoi granichnoi zadachi”, Matem. sb., 93 (135) (1974), 62–89 | MR | Zbl

[5] B. V. Fedosov, “Analiticheskaya formula dlya indeksa ellipticheskoi granichnoi zadachi, II”, Matem. sb., 95 (137) (1974), 525–550 | MR | Zbl