Periodic Boehmians
A class of generalized functions, called periodic Boehmians, on the unit circle, is studied. It is shown that the class of Boehmians contain all Beurling distributions. An example of a hyperfunctlon that is not a Boehmian is given. Some growth conditions on the Fourier coefficients of a Boehmian are...
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| Format: | Article |
| Language: | English |
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Wiley
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000840 |
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| _version_ | 1832545514001793024 |
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| author | Dennis Nemzer |
| author_facet | Dennis Nemzer |
| author_sort | Dennis Nemzer |
| collection | DOAJ |
| description | A class of generalized functions, called periodic Boehmians, on the unit
circle, is studied. It is shown that the class of Boehmians contain all Beurling
distributions. An example of a hyperfunctlon that is not a Boehmian is given. Some
growth conditions on the Fourier coefficients of a Boehmian are given. It is shown
that the Boehmians, with a given complete metric topological vector space topology, is
not locally bounded. |
| format | Article |
| id | doaj-art-73da5d353fe24f95a0fd9409f8763a3f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1989-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-73da5d353fe24f95a0fd9409f8763a3f2025-02-03T07:25:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112468569210.1155/S0161171289000840Periodic BoehmiansDennis Nemzer0Department of Mathematics, California State University, Stanislaus 801 W. Monte Vista Avenue, Turlock, CA 95380, USAA class of generalized functions, called periodic Boehmians, on the unit circle, is studied. It is shown that the class of Boehmians contain all Beurling distributions. An example of a hyperfunctlon that is not a Boehmian is given. Some growth conditions on the Fourier coefficients of a Boehmian are given. It is shown that the Boehmians, with a given complete metric topological vector space topology, is not locally bounded.http://dx.doi.org/10.1155/S0161171289000840 |
| spellingShingle | Dennis Nemzer Periodic Boehmians International Journal of Mathematics and Mathematical Sciences |
| title | Periodic Boehmians |
| title_full | Periodic Boehmians |
| title_fullStr | Periodic Boehmians |
| title_full_unstemmed | Periodic Boehmians |
| title_short | Periodic Boehmians |
| title_sort | periodic boehmians |
| url | http://dx.doi.org/10.1155/S0161171289000840 |
| work_keys_str_mv | AT dennisnemzer periodicboehmians |