Homogeneous cones and abelian theorems

Tatjana Ostrogorski

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-10

Abstract:

This paper deals with analysis on homogeneous cones in ℝ n . 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 ℝ n 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.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:273479

DOI: 10.1155/S0161171298000908

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