Doklady Mathematics

, Volume 89, Issue 1, pp 61–64 | Cite as

On the index of nonlocal elliptic operators associated with fibrations

  • A. Yu. Savin
  • B. Yu. Sternin


DOKLADY Mathematic Pseudodifferential Operator Pseudo Differential Opus Index Formula Fourier Integral Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A. B. Antonevich, Linear Functional Equations: The Operator Approach (Universitetskoe, Minsk, 1988) [in Russian].zbMATHGoogle Scholar
  2. 2.
    A. Savin and B. Sternin, J. Noncommut. Geom. 8 (2014);  http://arXiv:1106.4195.
  3. 3.
    A. Savin and B. Sternin, in Pseudo-Differential Operators, Generalized Functions and Asymptotics (Birkhauser, Basel, 2013), pp. 1–26.CrossRefGoogle Scholar
  4. 4.
    B. Yu. Sternin and V. E. Shatalov, Sb. Math. 81, 363–396 (1995).CrossRefMathSciNetGoogle Scholar
  5. 5.
    V. P. Maslov, Perturbation Theory and Asymptotic Methods (Mosk. Gos. Univ., Moscow, 1965) [in Russian].Google Scholar
  6. 6.
    A. Mishchenko, V. Shatalov, and B. Sternin, Lagrangian Manifolds and the Maslov Operator (Springer-Verlag, Berlin, 1990).CrossRefzbMATHGoogle Scholar
  7. 7.
    L. Hörmander, The Analysis of Linear Partial Differential Operators (Springer-Verlag, Berlin, 1985), Vol. 4.Google Scholar
  8. 8.
    B. Yu. Sternin and V. E. Shatalov, Sb. Math. 187, 1691–1720 (1996).CrossRefzbMATHMathSciNetGoogle Scholar
  9. 9.
    G. Luke, J. Differ. Equations 12, 566–589 (1972).CrossRefzbMATHMathSciNetGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Peoples’ Friendship UniversityMoscowRussia
  2. 2.Leibniz University of HannoverHannoverGermany

Personalised recommendations