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 | |
| Publication status | Published - Aug 5 2013 |
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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 journal › Article
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TY - JOUR
T1 - Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude
AU - Cho, Koji
AU - Kamimoto, Joe
AU - Nose, Toshihiro
PY - 2013/8/5
Y1 - 2013/8/5
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84880890532&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84880890532&partnerID=8YFLogxK
U2 - 10.2969/jmsj/06520521
DO - 10.2969/jmsj/06520521
M3 - Article
AN - SCOPUS:84880890532
VL - 65
SP - 521
EP - 562
JO - Journal of the Mathematical Society of Japan
JF - Journal of the Mathematical Society of Japan
SN - 0025-5645
IS - 2
ER -