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 journalArticle

6 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 - Aug 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)

Cite this

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

In: Journal of the Mathematical Society of Japan, Vol. 65, No. 2, 05.08.2013, p. 521-562.

Research output: Contribution to journalArticle

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