Regularization of distributions
We give a simple necessary and sufficient condition for the existence of distributional regularizations. Our results apply to functions and distributions defined in the complement of a point, in one or several variables. We also consider functions defined in the complement of a hypersurface. We appl...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117129800088X |
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| _version_ | 1832553259043127296 |
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| author | Ricardo Estrada |
| author_facet | Ricardo Estrada |
| author_sort | Ricardo Estrada |
| collection | DOAJ |
| description | We give a simple necessary and sufficient condition for the existence of distributional
regularizations. Our results apply to functions and distributions defined in the complement
of a point, in one or several variables. We also consider functions defined in the complement of a
hypersurface. We apply these results to the existence of distributional boundary values of harmonic
and analytic functions. |
| format | Article |
| id | doaj-art-5b2d3db779234871b99a6a6d77de4853 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5b2d3db779234871b99a6a6d77de48532025-02-03T05:54:23ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121462563610.1155/S016117129800088XRegularization of distributionsRicardo Estrada0Escuela de Matemática, Universidad de Costa Rica, San José, Costa RicaWe give a simple necessary and sufficient condition for the existence of distributional regularizations. Our results apply to functions and distributions defined in the complement of a point, in one or several variables. We also consider functions defined in the complement of a hypersurface. We apply these results to the existence of distributional boundary values of harmonic and analytic functions.http://dx.doi.org/10.1155/S016117129800088XGeneralized functionharmonic functionanalytic function. |
| spellingShingle | Ricardo Estrada Regularization of distributions International Journal of Mathematics and Mathematical Sciences Generalized function harmonic function analytic function. |
| title | Regularization of distributions |
| title_full | Regularization of distributions |
| title_fullStr | Regularization of distributions |
| title_full_unstemmed | Regularization of distributions |
| title_short | Regularization of distributions |
| title_sort | regularization of distributions |
| topic | Generalized function harmonic function analytic function. |
| url | http://dx.doi.org/10.1155/S016117129800088X |
| work_keys_str_mv | AT ricardoestrada regularizationofdistributions |