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

Koji Cho; Joe Kamimoto; Toshihiro Nose

doi:10.2969/jmsj/06520521

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

Koji Cho, Joe Kamimoto, Toshihiro Nose

Department of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	521-562
Number of pages	42
Journal	Journal of the Mathematical Society of Japan
Volume	65
Issue number	2
DOIs	https://doi.org/10.2969/jmsj/06520521
Publication status	Published - 2013

All Science Journal Classification (ASJC) codes

Mathematics(all)

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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.",

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