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

7 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

  • Mathematics(all)

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