Canonical functions of a class of positive geometries are Laplace transforms of positive measures on the dual cone, with hyperbolicity of the algebraic boundary as the characterizing property, computed explicitly in the projective plane.
Positive geometries and canonical forms
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Canonical Forms as Dual Volumes
Canonical functions of a class of positive geometries are Laplace transforms of positive measures on the dual cone, with hyperbolicity of the algebraic boundary as the characterizing property, computed explicitly in the projective plane.