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Asymptotic limit of oscillatory integrals with certain smooth phases

Published 12 Oct 2016 in math.CA and math.CV | (1610.03654v1)

Abstract: 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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Authors (2)

  1. Joe Kamimoto 
  2. Toshihiro Nose 

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