Asymptotic limit of oscillatory integrals with certain smooth phases

12 Oct 2016 Kamimoto Joe Nose Toshihiro

We give an exact result about the asymptotic limit of an oscillatory integral whose phase contains a certain flat term. Corresponding to the real analytic phase case, one can see an essential difference in the behavior of the above oscillatory integral...

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Categories


  • CLASSICAL ANALYSIS AND ODES
  • COMPLEX VARIABLES