7 citations · 14 across the 9 of their papers we have counts for
9 papers
The Cone Generated by Positive Semidefinite Mean Polynomials
Mehdi Ghasemi, Salma Kuhlmann
We study the cone of nonnegative mean polynomials---real -variate forms of degree that can be expressed as weighted power means with $q>…
Infinite-dimensional moment-SOS hierarchy for nonlinear partial differential equations
Didier Henrion, Maria Infusino, Salma Kuhlmann +1
We formulate a class of nonlinear {evolution} partial differential equations (PDEs) as linear optimization problems on moments of positive measures supported on infinite-dimensiona…
Geometrical Study of the Cone of Sums of Squares plus Sums of Nonnegative Circuits
Mareike Dressler, Salma Kuhlmann, Moritz Schick
In this article, we combine sums of squares (SOS) and sums of nonnegative circuit (SONC) forms, two independent nonnegativity certificates for real homogeneous polynomials. We cons…
Ordered transexponential fields
Lothar Sebastian Krapp, Salma Kuhlmann
We develop a first-order theory of ordered transexponential fields in the language , where and stand for unary function symbols. While the archimedea…
Intermediate Cones between the Cones of Positive Semidefinite Forms and Sums of Squares
Charu Goel, Sarah Hess, Salma Kuhlmann
The cone () of all positive semidefinite (PSD) real forms in variables of degree contains the subcone of those that…
Automorphisms of valued Hahn groups
Salma Kuhlmann, Michele Serra
Hahn groups endowed with the canonical valuation play a fundamental role in the classification of valued abelian groups. In this paper we study the group of valuation (respectively…
Moment problem for algebras generated by a nuclear space
Maria Infusino, Salma Kuhlmann, Tobias Kuna +1
We establish a criterion for the existence of a representing Radon measure for linear functionals defined on a unital commutative real algebra , which we assume to be generated…
Definable valuations on ordered fields
Philip Dittmann, Franziska Jahnke, Lothar Sebastian Krapp +1
We study the definability of convex valuations on ordered fields, with a particular focus on the distinguished subclass of henselian valuations. In the setting of ordered fields, o…
Moment problem for symmetric algebras of locally convex spaces
M. Ghasemi, M. Infusino, S. Kuhlmann +1
It is explained how a locally convex (lc) topology on a real vector space extends to a locally multiplicatively convex (lmc) topology on the symmetric algebra…