Journal of the American Mathematical Society· 2012Q1
The logarithmic Minkowski problem
- 389citations
- Q1SCImago
- 2012year
Short summary
A new set of necessary and sufficient conditions are established for a measure on the unit sphere to be the cone-volume measure of a finite-dimensional Banach space's unit ball.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces and solves the logarithmic Minkowski problem.
- Provides necessary and sufficient conditions for a measure to be a cone-volume measure.
- Establishes conditions for the unit ball of a finite-dimensional Banach space.
- Draws an analogy to the classical Minkowski problem.
AI-generated from the title and abstract; the full text is not read.
Abstract
In analogy with the classical Minkowski problem, necessary and sufficient conditions are given to assure that a given measure on the unit sphere is the cone-volume measure of the unit ball of a finite-dimensional Banach space.
The authors' abstract, as published at the source. Journal of the American Mathematical Society, 2012 · DOI ↗
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Field: Applied Mathematics
Applied MathematicsMathematics