The Dunkl convolution operators and multipoint de la Vallee–Poussin problem
The Dunkl operator as an object of mathematical physics is considered, we study the kernel and the surjectivity of Dunkl convolution operators in the space of entire functions and the space of entire functions of exponential type. The main result is the solution of the multipoint de la Vallee–Poussi...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2013-12-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Subjects: | |
| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/34695/23046 |
| _version_ | 1818278337272872960 |
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| author | Karina Raisovna Zabirova Valentin Vasil'evich Napalkov |
| author_facet | Karina Raisovna Zabirova Valentin Vasil'evich Napalkov |
| author_sort | Karina Raisovna Zabirova |
| collection | DOAJ |
| description | The Dunkl operator as an object of mathematical physics is considered, we study the kernel and the surjectivity of Dunkl convolution operators in the space of entire functions and the space of entire functions of exponential type. The main result is the solution of the multipoint de la Vallee–Poussin problem for Dunkl convolution operators in the space of entire functions. |
| first_indexed | 2024-12-12T23:15:50Z |
| format | Article |
| id | doaj.art-4780292e2a3a4e91a792a025b813844c |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-12T23:15:50Z |
| publishDate | 2013-12-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-4780292e2a3a4e91a792a025b813844c2022-12-22T00:08:27ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-12-01171708110.14498/vsgtu113931208The Dunkl convolution operators and multipoint de la Vallee–Poussin problemKarina Raisovna Zabirova0Valentin Vasil'evich Napalkov1Ufa State Aviation Technical UniversityInstitute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of SciencesThe Dunkl operator as an object of mathematical physics is considered, we study the kernel and the surjectivity of Dunkl convolution operators in the space of entire functions and the space of entire functions of exponential type. The main result is the solution of the multipoint de la Vallee–Poussin problem for Dunkl convolution operators in the space of entire functions.https://journals.eco-vector.com/1991-8615/article/viewFile/34695/23046dunkl operatorsdunkl convolutionde la vallee–poussin (cauchy) problemsufficient setsspace of entire functions |
| spellingShingle | Karina Raisovna Zabirova Valentin Vasil'evich Napalkov The Dunkl convolution operators and multipoint de la Vallee–Poussin problem Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki dunkl operators dunkl convolution de la vallee–poussin (cauchy) problem sufficient sets space of entire functions |
| title | The Dunkl convolution operators and multipoint de la Vallee–Poussin problem |
| title_full | The Dunkl convolution operators and multipoint de la Vallee–Poussin problem |
| title_fullStr | The Dunkl convolution operators and multipoint de la Vallee–Poussin problem |
| title_full_unstemmed | The Dunkl convolution operators and multipoint de la Vallee–Poussin problem |
| title_short | The Dunkl convolution operators and multipoint de la Vallee–Poussin problem |
| title_sort | dunkl convolution operators and multipoint de la vallee poussin problem |
| topic | dunkl operators dunkl convolution de la vallee–poussin (cauchy) problem sufficient sets space of entire functions |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/34695/23046 |
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