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

Koji Cho, Joe Kamimoto, Toshihiro Nose

研究成果: ジャーナルへの寄稿記事

6 引用 (Scopus)

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.

元の言語英語
ページ(範囲)521-562
ページ数42
ジャーナルJournal of the Mathematical Society of Japan
65
発行部数2
DOI
出版物ステータス出版済み - 8 5 2013

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Newton Polyhedron
Oscillatory Integrals
Asymptotic Analysis
Riemann zeta function
Pole
Critical point
Asymptotic Behavior
Infinity
Zero

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

これを引用

Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude. / Cho, Koji; Kamimoto, Joe; Nose, Toshihiro.

:: Journal of the Mathematical Society of Japan, 巻 65, 番号 2, 05.08.2013, p. 521-562.

研究成果: ジャーナルへの寄稿記事

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