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arXiv:1203.0808 [math.CA]AbstractReferencesReviewsResources

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

Koji Cho, Joe Kamimoto, Toshihiro Nose

Published 2012-03-05Version 1

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.

Comments: 36 pages
Journal: J. Math. Soc. Japan, 65, No. 2 (2013) 521-562
Categories: math.CA, math.CV
Subjects: 58K55, 14B05, 14M25
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