Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
ASYMPTOTIC EXPANSION OF OSCILLATORY INTEGRALS WITH SINGULAR PHASES
Joe KAMIMOTOHiromichi MIZUNO
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2023 年 77 巻 2 号 p. 319-329

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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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© 2023 Faculty of Mathematics, Kyushu University
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