[PDF.35iy] Positive Definite Functions on Infinite-Dimensional Convex Cones

Positive Definite Functions on Infinite-Dimensional Convex Cones

[PDF.ls90] Positive Definite Functions on Infinite-Dimensional Convex Cones

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 | #13502294 in Books |  2003-11-01 | Original language:English |  9.75 x6.75 x.50l,.59 | Binding: Mass Market Paperback | 128 pages

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This memoir is devoted to the study of positive definite functions on convex subsets of finite- or infinite-dimensional vector spaces, and to the study of representations of convex cones by positive operators on Hilbert spaces. Given a convex subset $\Omega\sub V$ of a real vector space $V$, we show that a function $\phi\!:\Omega\to\mathbb{R}$ is the Laplace transform of a positive measure $\mu$ on the algebraic dual space $V^*$ if and only if $\phi$ is continuous along ...

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