On Geodesically Convex Functions on Symm
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Dmitri Akhiezer
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Article
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2001
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John Wiley and Sons
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English
β 269 KB
Let \(M=G / K\) be a simply connected symmetric space of non-positive curvature. We establish a natural 1-1-correspondence between geodesically convex \(K\)-invariant functions on \(M\) and convex functions, invariant under the Weyl group, on a Cartan subspace.