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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |