Non-archimedean monotone functions
Wilhom H. Schikhof (1978-1979)
Groupe de travail d'analyse ultramétrique
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Wilhom H. Schikhof (1978-1979)
Groupe de travail d'analyse ultramétrique
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Yao-Zhong Hu (1994)
Séminaire de probabilités de Strasbourg
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Zajíček, L.
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Volle, M. (1994)
Journal of Convex Analysis
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Sano, Takashi, Yatsu, Takeshi (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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L. Cavallina, A. Colesanti (2015)
Analysis and Geometry in Metric Spaces
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We consider the space Cn of convex functions u defined in Rn with values in R ∪ {∞}, which are lower semi-continuous and such that lim|x| } ∞ u(x) = ∞. We study the valuations defined on Cn which are invariant under the composition with rigid motions, monotone and verify a certain type of continuity. We prove integral representations formulas for such valuations which are, in addition, simple or homogeneous.
W. Kurc (1997)
Collectanea Mathematica
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In the paper concepts of pointwise and uniform strict monotonicity and order-smoothness for convex and monotone functionals on locally convex-solid Riesz spaces are studied.