Some properties of an extended Fourier convolution operator and its applications
UDC 517.444, 517.968, 517.982 We study some boundedness properties and the Banach algebra structure of the extended Fourier convolution operator. As applications of these results, we establish the solvability of some classes of Fredholm integral equations and differential equations.
Збережено в:
| Дата: | 2026 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2026
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/9595 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.444, 517.968, 517.982
We study some boundedness properties and the Banach algebra structure of the extended Fourier convolution operator. As applications of these results, we establish the solvability of some classes of Fredholm integral equations and differential equations. |
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| DOI: | 10.3842/umzh.v78i7-8.9595 |