振動積分の漸近解析について

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  • Asymptotic analysis of oscillatory integrals
  • シンドウセキブン　ノ　ゼンキンカイセキ　ニツイテ

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type:論文(Article)

In this summary, we discuss the recent study for the asymptotic behavior of oscillatory integrals at infinity. In a seminal work of A. N. Varchenko, the behavior of oscillatory integrals at infinity with real analytic phases are precisely investigated by using the Newton polyhedra of the phases. We give some expansion and asymptotic limits of oscillatory integrals with smooth phases.

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