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Convex functions on superconvex spaces

โœ Scribed by S. Simons


Publisher
Springer
Year
1992
Tongue
English
Weight
119 KB
Volume
59
Category
Article
ISSN
0003-889X

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On Geodesically Convex Functions on Symm
โœ Dmitri Akhiezer ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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.