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

著者情報

キーワード: oscillatory integrals, oscillation index and its multiplicity, local zeta function, asymptotic expansion, Newton polyhedra of the phase and the amplitude, essential set

ジャーナルフリー

2013 年 65 巻 2 号 p. 521-562

DOI https://doi.org/10.2969/jmsj/06520521

詳細

抄録

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.

責任著者(Corresponding author)

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