6 citations · 15 across the 8 of their papers we have counts for
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math.CA2012★ 2 cited
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…
math.CA2012★ 6 cited
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…