Convolution Product for Hilbert $C^*$-Module Valued Maps
In this paper, we introduce a convolution-type product for strongly integrable Hilbert $C^*$-module valued maps on locally compact groups. We investigate various properties of this product related to uniform continuity, boundless, etc. For instance, we prove a convolution theorem. Also, we study th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Maragheh
2023-04-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_704141_4d42d5ebb9d70de4b30f38772b26890d.pdf |
| _version_ | 1827955998943346688 |
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| author | Mawoussi Todjro Yaogan Mensah |
| author_facet | Mawoussi Todjro Yaogan Mensah |
| author_sort | Mawoussi Todjro |
| collection | DOAJ |
| description | In this paper, we introduce a convolution-type product for strongly integrable Hilbert $C^*$-module valued maps on locally compact groups. We investigate various properties of this product related to uniform continuity, boundless, etc. For instance, we prove a convolution theorem. Also, we study the boundless of the related convolution operator in various settings. |
| first_indexed | 2024-04-09T14:56:43Z |
| format | Article |
| id | doaj.art-b514f8d8fad2471393d4a6cd2095a4e6 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-04-09T14:56:43Z |
| publishDate | 2023-04-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-b514f8d8fad2471393d4a6cd2095a4e62023-05-02T05:13:39ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002023-04-01203193110.22130/scma.2022.557582.1145704141Convolution Product for Hilbert $C^*$-Module Valued MapsMawoussi Todjro0Yaogan Mensah1Department of Mathematics, University of Kara, BP 404 Kara, Togo.Department of Mathematics, University of Lom\'e, 01 BP 1515 Lome,Togo and International Chair in Mathematical Physics and Aplications (ICMPA), University of Abomey-Calavi, Benin.In this paper, we introduce a convolution-type product for strongly integrable Hilbert $C^*$-module valued maps on locally compact groups. We investigate various properties of this product related to uniform continuity, boundless, etc. For instance, we prove a convolution theorem. Also, we study the boundless of the related convolution operator in various settings.https://scma.maragheh.ac.ir/article_704141_4d42d5ebb9d70de4b30f38772b26890d.pdflocally compact groupconvolutionhilbert $c^*$-modulefourier transform |
| spellingShingle | Mawoussi Todjro Yaogan Mensah Convolution Product for Hilbert $C^*$-Module Valued Maps Sahand Communications in Mathematical Analysis locally compact group convolution hilbert $c^*$-module fourier transform |
| title | Convolution Product for Hilbert $C^*$-Module Valued Maps |
| title_full | Convolution Product for Hilbert $C^*$-Module Valued Maps |
| title_fullStr | Convolution Product for Hilbert $C^*$-Module Valued Maps |
| title_full_unstemmed | Convolution Product for Hilbert $C^*$-Module Valued Maps |
| title_short | Convolution Product for Hilbert $C^*$-Module Valued Maps |
| title_sort | convolution product for hilbert c module valued maps |
| topic | locally compact group convolution hilbert $c^*$-module fourier transform |
| url | https://scma.maragheh.ac.ir/article_704141_4d42d5ebb9d70de4b30f38772b26890d.pdf |
| work_keys_str_mv | AT mawoussitodjro convolutionproductforhilbertcmodulevaluedmaps AT yaoganmensah convolutionproductforhilbertcmodulevaluedmaps |