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.
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| Date: | 2026 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9595 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1871646579542196224 |
|---|---|
| author | Tuyet, Phan Thi Tuyet, Phan Thi |
| author_facet | Tuyet, Phan Thi Tuyet, Phan Thi |
| author_institution_txt_mv | [
{
"author": "Phan Thi Tuyet",
"institution": "Electric Power University, Hanoi, Vietnam"
}
] |
| author_sort | Tuyet, Phan Thi |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-07-24T15:24:12Z |
| description | 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. |
| doi_str_mv | 10.3842/umzh.v78i7-8.9595 |
| first_indexed | 2026-07-25T01:01:12Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-9595 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-07-25T01:01:12Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-95952026-07-24T15:24:12Z Some properties of an extended Fourier convolution operator and its applications Some properties of an extended Fourier convolution operator and its applications Tuyet, Phan Thi Tuyet, Phan Thi Convolution Fourier Hartley Transform Convolution Fourier Hartley Transform 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. УДК 517.444, 517.968, 517.982 Деякі властивості розширеного оператора згортки Фур'є та його застосування Досліджено деякі властивості обмеженості та структуру банахової алгебри для розширеного оператора згортки Фур'є. Як застосування одержаних результатів встановлено умови розв'язності деяких класів інтегральних рівнянь Фредгольма, а також диференціальних рівнянь. Institute of Mathematics, NAS of Ukraine 2026-07-24 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/9595 10.3842/umzh.v78i7-8.9595 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 7-8 (2026); 611 Український математичний журнал; Том 78 № 7-8 (2026); 611 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/9595/10690 Copyright (c) 2026 Phan Thi Tuyet |
| spellingShingle | Tuyet, Phan Thi Tuyet, Phan Thi Some properties of an extended Fourier convolution operator and its applications |
| title | Some properties of an extended Fourier convolution operator and its applications |
| title_alt | Some properties of an extended Fourier convolution operator and its applications |
| title_full | Some properties of an extended Fourier convolution operator and its applications |
| title_fullStr | Some properties of an extended Fourier convolution operator and its applications |
| title_full_unstemmed | Some properties of an extended Fourier convolution operator and its applications |
| title_short | Some properties of an extended Fourier convolution operator and its applications |
| title_sort | some properties of an extended fourier convolution operator and its applications |
| topic_facet | Convolution Fourier Hartley Transform Convolution Fourier Hartley Transform |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9595 |
| work_keys_str_mv | AT tuyetphanthi somepropertiesofanextendedfourierconvolutionoperatoranditsapplications AT tuyetphanthi somepropertiesofanextendedfourierconvolutionoperatoranditsapplications |