Functional Analysis and Its Applications

, Volume 11, Issue 3, pp 163–172 | Cite as

Asymptotic exponential integrals, Newton's diagram, and the classification of minimal points

  • V. A. Vasil'ev


Functional Analysis Minimal Point Exponential Integral 
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.

Literature Cited

  1. 1.
    V. I. Arnol'd, “Remarks on the method of stationary phases and Coxeter numbers,” Usp. Mat. Nauk,28, No. 5, 17–44 (1973).Google Scholar
  2. 2.
    V. I. Arnol'd, “Normal forms of functions in the neighborhood of degenerate critical points,” Usp. Mat. Nauk,29, No. 2, 11–49 (1974).Google Scholar
  3. 3.
    V. I. Arnol'd, “Critical points of smooth functions and their normal forms,” Usp. Mat. Nauk,30, No. 5, 3–65 (1975).Google Scholar
  4. 4.
    V. I. Arnol'd, “A spectral sequence for reducing functions to normal form,” in: Prob-Problems of Mechanics and Mathematical Physics [in Russian], Nauka, Moscow (1976), pp. 7–20.Google Scholar
  5. 5.
    A. N. Varchenko, “Newton polyhedra and estimation of oscillating integrals,” Funkts. Anal. Prilozhen.,10, No. 3, 13–38 (1976).Google Scholar
  6. 6.
    S. G. Gindikin, “Energy estimates connected with Newton polyhedra,” Tr. Mosk. Mat. Ova.,31, 189–236 (1974).Google Scholar
  7. 7.
    J. W. Milnor, Morse Theory, Princeton Univ. Press (1963).Google Scholar
  8. 8.
    J. W. Milnor, Singular Points of Complex Hypersurfaces, Princeton Univ. Press (1969).Google Scholar
  9. 9.
    V. P. Mikhailov, “On the behavior at infinity of a class of monomials,” Tr. Mat. Inst., Akad. Nauk SSSR,91, 59–80 (1967).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • V. A. Vasil'ev

There are no affiliations available

Personalised recommendations