6 citations · 21 across the 16 of their papers we have counts for
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Asymptotic expansion of oscillatory integrals with singular phases
Joe Kamimoto, Hiromichi Mizuno
The purpose of this article is to describe the singularities of one-dimensional oscillatory integrals, whose phases have a certain singularity, in the form of an asymptotic expansi…
Meromorphy of local zeta functions in smooth model cases
Joe Kamimoto, Toshihiro Nose
It is known that local zeta functions associated with real analytic functions can be analytically continued as meromorphic functions to the whole complex plane. But, in the case of…
Non-polar singularities of local zeta functions in some smooth case
Joe Kamimoto, Toshihiro Nose
It is known that local zeta functions associated with real analytic functions can be analytically continued as meromorphic functions to the whole complex plane. In this paper, the…
Asymptotic limit of oscillatory integrals with certain smooth phases
Joe Kamimoto, Toshihiro Nose
We give an exact result about the asymptotic limit of an oscillatory integral whose phase contains a certain flat term. Corresponding to the real analytic phase case, one can see a…
Newton polyhedra and weighted oscillatory integrals with smooth phases
Joe Kamimoto, Toshihiro Nose
In his seminal paper, A. N. Varchenko precisely investigates the leading term of the asymptotic expansion of an oscillatory integral with real analytic phase. He expresses the orde…
Toric resolution of singularities in a certain class of functions and asymptotic analysis of oscillatory integrals
Joe Kamimoto, Toshihiro Nose
In a seminal work of A. N. Varchenko, the behavior at infinity of oscillatory integrals with real analytic phase is precisely investigated by using the theory of toric varieties ba…
Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude
Koji Cho, Joe Kamimoto, Toshihiro Nose
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…