Asymptotic expansion of oscillatory integrals with singular phases

Autor:	Kamimoto, Joe, Mizuno, Hiromichi
Rok vydání:	2022
Předmět:	Mathematics - Classical Analysis and ODEs 42A38 (41A60)
Zdroj:	Kyushu Journal of Mathematics, 77-2 (2023) , 319-329
Druh dokumentu:	Working Paper
DOI:	10.2206/kyushujm.77.319
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.05663 Zobrazit plný text záznamu View this record from Arxiv