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arXiv · 2209.05663

Asymptotic expansion of oscillatory integrals with singular phases

Joe Kamimoto·Hiromichi Mizuno
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Abstract

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 expansion. In the case of the Laplace integral, an analogous result is also given.

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Joe Kamimoto, Hiromichi Mizuno. 2022-09-13. Asymptotic expansion of oscillatory integrals with singular phases. https://doi.org/10.2206/kyushujm.77.319

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