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Complex oscillatory integrals

  • V. I. Arnold
  • S. M. Gusein-Zade
  • A. N. Varchenko
Chapter
Part of the Modern Birkhäuser Classics book series (MBC)

Abstract

In the study of the asymptotic behaviour of functions one frequently has to study the asymptotic behaviour of integrals of the form \( \int_{\Gamma}\, e^{\tau f (x)}\phi(x)dx_1\,\wedge...\wedge\,{dx_{n}} \) for large values of the parameter\( \tau \)

Keywords

Asymptotic Series Jordan Block Holomorphic Form Coxeter Number Monodromy 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.

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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • V. I. Arnold
  • S. M. Gusein-Zade
    • 1
  • A. N. Varchenko
    • 2
  1. 1.Department of Mechanics and MathematicsMoscow State UniversityMoscowRussia
  2. 2.Department of MathematicsThe University of North Carolina at Chapel HillChapel HillUSA

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