Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude

Koji Cho, Joe Kamimoto, Toshihiro Nose

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)

    Abstract

    The asymptotic behavior at infinity of oscillatory integrals is in detail investigated by using the Newton polyhedra of the phase and the amplitude. We are especially interested in the case that the amplitude has a zero at a critical point of the phase. The properties of poles of local zeta functions, which are closely related to the behavior of oscillatory integrals, are also studied under the associated situation.

    Original languageEnglish
    Pages (from-to)521-562
    Number of pages42
    JournalJournal of the Mathematical Society of Japan
    Volume65
    Issue number2
    DOIs
    Publication statusPublished - 2013

    All Science Journal Classification (ASJC) codes

    • General Mathematics

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