Positive half-characters and the Laplace transformation
It is shown that the image of the conical semigroup S under the natural mapping of it to its second semigroup of positive semicharacters (Ŝ+)^+  is a total subset of the space of continuous functions on Ŝ+ approaching zero at infinity. This allows one to establish a number of properties...
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7961 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | It is shown that the image of the conical semigroup S under the natural mapping of it to its second semigroup of positive semicharacters (Ŝ+)^+  is a total subset of the space of continuous functions on Ŝ+ approaching zero at infinity. This allows one to establish a number of properties of the semigroup Ŝ+ and of the Laplace transform of measures on it. |
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