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On the index of nonlocal elliptic operators associated with fibrations. (English. Russian original) Zbl 1296.35228
Dokl. Math. 89, No. 1, 61-64 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 3, 270-273 (2014).
35S30 Fourier integral operators applied to PDEs
35R01 PDEs on manifolds
35R09 Integral partial differential equations
Full Text: DOI
[1] A. B. Antonevich, Linear Functional Equations: The Operator Approach (Universitetskoe, Minsk, 1988) [in Russian]. · Zbl 0708.47010
[2] A. Savin and B. Sternin, J. Noncommut. Geom. 8 (2014); http://arXiv:1106.4195.
[3] A. Savin and B. Sternin, in Pseudo-Differential Operators, Generalized Functions and Asymptotics (Birkhauser, Basel, 2013), pp. 1-26. · Zbl 1269.58009
[4] Sternin, B Yu; Shatalov, V E, No article title, Sb. Math., 81, 363-396, (1995) · Zbl 0840.35132
[5] V. P. Maslov, Perturbation Theory and Asymptotic Methods (Mosk. Gos. Univ., Moscow, 1965) [in Russian].
[6] A. Mishchenko, V. Shatalov, and B. Sternin, Lagrangian Manifolds and the Maslov Operator (Springer-Verlag, Berlin, 1990). · Zbl 0727.58001
[7] L. Hörmander, The Analysis of Linear Partial Differential Operators (Springer-Verlag, Berlin, 1985), Vol. 4.
[8] Sternin, B Yu; Shatalov, V E, No article title, Sb. Math., 187, 1691-1720, (1996) · Zbl 0882.58053
[9] Luke, G, No article title, J. Differ. Equations, 12, 566-589, (1972) · Zbl 0238.35077
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