Generalizations of Koga's version of the Wiener-Ikehara theorem
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910835811549184 |
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| author | Chen, Bin Vindas, Jasson |
| author_facet | Chen, Bin Vindas, Jasson |
| contents | We establish new versions of the Wiener-Ikehara theorem where only boundary assumptions on the real part of the Laplace transform are imposed. Our results generalize and improve a recent theorem of T. Koga [J. Fourier Anal. Appl. 27 (2021), Article No. 18]. As an application, we give a quick Tauberian proof of Blackwell's renewal theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_03013 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generalizations of Koga's version of the Wiener-Ikehara theorem Chen, Bin Vindas, Jasson Complex Variables Classical Analysis and ODEs Number Theory Probability Primary 11M45, 40E05, Secondary 30B10, 31A20, 42A38, 44A10, 60K05 We establish new versions of the Wiener-Ikehara theorem where only boundary assumptions on the real part of the Laplace transform are imposed. Our results generalize and improve a recent theorem of T. Koga [J. Fourier Anal. Appl. 27 (2021), Article No. 18]. As an application, we give a quick Tauberian proof of Blackwell's renewal theorem. |
| title | Generalizations of Koga's version of the Wiener-Ikehara theorem |
| topic | Complex Variables Classical Analysis and ODEs Number Theory Probability Primary 11M45, 40E05, Secondary 30B10, 31A20, 42A38, 44A10, 60K05 |
| url | https://arxiv.org/abs/2311.03013 |