Homogeneous cones and abelian theorems
This paper deals with analysis on homogeneous cones in ℝn. This subject has its origins in one-dimensional topics that are connected, often implicitely, with some group properties. The homogeneous cones are open convex cones in ℝn that are at the same time homogeneous spaces, and they are more gene...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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/S0161171298000908 |
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| Summary: | This paper deals with analysis on homogeneous cones in ℝn. This subject has its origins in
one-dimensional topics that are connected, often implicitely, with some group properties. The homogeneous
cones are open convex cones in ℝn that are at the same time homogeneous spaces, and they are more general
than the classical, or symmetric cones. As an example of application of the theory of homogeneous cones we
study the asymptotic behaviour of some integral transforms. |
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| ISSN: | 0161-1712 1687-0425 |