A Riesz representation theorem for functionals on log-concave functions (Q2076313)
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| Language | Label | Description | Also known as |
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| English | A Riesz representation theorem for functionals on log-concave functions |
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A Riesz representation theorem for functionals on log-concave functions (English)
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16 February 2022
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In this paper, a characterization of linear and increasing functionals on the class of log-concave functions on \(\mathbb{R}^n\) is given, where linear means with respect to the natural addition on log-concave functions which is the sup-convolution. Finally, this is applied to convex geometry regarding the surface area measure of a log-concave functions.
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Riesz representation theorem
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linear functionals
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log-concave functions
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surface area measure
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