Generalized Wiener–Hopf equations with directly Riemann integrable inhomogeneous term Full article
| Journal |
Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795 |
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| Output data | Year: 2023, Volume: 271, Pages: 400–405 Pages count : 6 DOI: 10.1007/s10958-023-06549-0 | ||
| Tags | Wiener–Hopf equation · Direct Riemann integrability · Probability distribution | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0004 |
Abstract:
We establish the asymptotic behavior of the solution to the generalized Wiener–Hopf equation whose kernel is a probability distribution, whereas the inhomogeneous term is a directly Riemann integrable function. To this end, we prove that the convolution of a finite measure and a directly Riemann integrable function is also a directly Riemann integrable function.
Cite:
Sgibnev M.S.
Generalized Wiener–Hopf equations with directly Riemann integrable inhomogeneous term
Journal of Mathematical Sciences (United States). 2023. V.271. P.400–405. DOI: 10.1007/s10958-023-06549-0 Scopus РИНЦ OpenAlex
Generalized Wiener–Hopf equations with directly Riemann integrable inhomogeneous term
Journal of Mathematical Sciences (United States). 2023. V.271. P.400–405. DOI: 10.1007/s10958-023-06549-0 Scopus РИНЦ OpenAlex
Dates:
| Submitted: | May 23, 2023 |
| Accepted: | Jul 3, 2023 |
| Published print: | Sep 1, 2023 |
| Published online: | Sep 1, 2023 |
Identifiers:
| Scopus: | 2-s2.0-85169329658 |
| Elibrary: | 63713138 |
| OpenAlex: | W4386350206 |
Citing:
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