Compatibility Conditions and the Convolution of Functions and Generalized Functions
The paper is a review of certain existence theorems concerning the convolution of functions, distributions, and ultradistributions of Beurling type with supports satisfying suitable compatibility conditions. The fact that some conditions are essential for the existence of the convolution in the disc...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/356724 |
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| _version_ | 1849470158701068288 |
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| author | Andrzej Kamiński Svetlana Mincheva-Kaminska |
| author_facet | Andrzej Kamiński Svetlana Mincheva-Kaminska |
| author_sort | Andrzej Kamiński |
| collection | DOAJ |
| description | The paper is a review of certain existence theorems concerning the convolution of functions, distributions, and ultradistributions of Beurling type with supports satisfying suitable compatibility conditions. The fact that some conditions are essential for the existence of the convolution in the discussed spaces follows from earlier results and the proofs given at the end of this paper. |
| format | Article |
| id | doaj-art-d459c2860d3444248d64daee7358c279 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-d459c2860d3444248d64daee7358c2792025-08-20T03:25:12ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/356724356724Compatibility Conditions and the Convolution of Functions and Generalized FunctionsAndrzej Kamiński0Svetlana Mincheva-Kaminska1Faculty of Mathematics and Natural Sciences, University of Rzeszów, Profesora Pigonia 1, 35-310 Rzeszów, PolandFaculty of Mathematics and Natural Sciences, University of Rzeszów, Profesora Pigonia 1, 35-310 Rzeszów, PolandThe paper is a review of certain existence theorems concerning the convolution of functions, distributions, and ultradistributions of Beurling type with supports satisfying suitable compatibility conditions. The fact that some conditions are essential for the existence of the convolution in the discussed spaces follows from earlier results and the proofs given at the end of this paper.http://dx.doi.org/10.1155/2013/356724 |
| spellingShingle | Andrzej Kamiński Svetlana Mincheva-Kaminska Compatibility Conditions and the Convolution of Functions and Generalized Functions Journal of Function Spaces and Applications |
| title | Compatibility Conditions and the Convolution of Functions and Generalized Functions |
| title_full | Compatibility Conditions and the Convolution of Functions and Generalized Functions |
| title_fullStr | Compatibility Conditions and the Convolution of Functions and Generalized Functions |
| title_full_unstemmed | Compatibility Conditions and the Convolution of Functions and Generalized Functions |
| title_short | Compatibility Conditions and the Convolution of Functions and Generalized Functions |
| title_sort | compatibility conditions and the convolution of functions and generalized functions |
| url | http://dx.doi.org/10.1155/2013/356724 |
| work_keys_str_mv | AT andrzejkaminski compatibilityconditionsandtheconvolutionoffunctionsandgeneralizedfunctions AT svetlanaminchevakaminska compatibilityconditionsandtheconvolutionoffunctionsandgeneralizedfunctions |