Asymptotic expansion of oscillatory integrals with singular phases
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913238083436544 |
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| author | Kamimoto, Joe Mizuno, Hiromichi |
| author_facet | Kamimoto, Joe Mizuno, Hiromichi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_05663 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Asymptotic expansion of oscillatory integrals with singular phases Kamimoto, Joe Mizuno, Hiromichi Classical Analysis and ODEs 42A38 (41A60) 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. |
| title | Asymptotic expansion of oscillatory integrals with singular phases |
| topic | Classical Analysis and ODEs 42A38 (41A60) |
| url | https://arxiv.org/abs/2209.05663 |