Asymptotic limit of oscillatory integrals with certain smooth phases

Abstract

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 an essential difference in the behavior of the above oscillatory integral.

arXiv comment12 pages. To appear in RIMS Kokyuroku Bessatsu

References in corpus (2)

• Toric resolution of singularities in a certain class of $C^{\infty }$ functions and asymptotic analysis of oscillatory integrals
• Newton polyhedra and weighted oscillatory integrals with smooth phases

Cited by in corpus (2)

• Non-polar singularities of local zeta functions in some smooth case
• Meromorphy of local zeta functions in smooth model cases