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The analogue of Hilbert's 1888 theorem for Even Symmetric Forms
Charu Goel, Salma Kuhlmann, Bruce Reznick
Hilbert proved in 1888 that a positive semidefinite (psd) real form is a sum of squares (sos) of real forms if and only if or or , where is the number…
On the Choi-Lam analogue of Hilbert's 1888 theorem for Symmetric Forms
Charu Goel, Salma Kuhlmann, Bruce Reznick
A famous theorem of Hilbert from 1888 states that a positive semidefinite (psd) real form is a sum of squares (sos) of real forms if and only if or or , w…
The Moment Problem for Continuous Positive Semidefinite Linear functionals
Mehdi Ghasemi, Salma Kuhlmann, Ebrahim Samei
Let be a locally convex topology on the countable dimensional polynomial -algebra $\rx:=\reals[X_1,...,X_n]$. Let be a closed subset of , and let $M:=M_{\…
Sums of squares and moment problems in equivariant situations
Jaka Cimpric, Salma Kuhlmann, Claus Scheiderer
We begin a systematic study of positivity and moment problems in an equivariant setting. Given a reductive group over acting on an affine -variety , we consider the…
Positivity in power series rings
Jaka Cimpric, Salma Kuhlmann, Murray Marshall
We extend and generalize the results of Scheiderer (2006) on the representation of polynomials nonnegative on two-dimensional basic closed semialgebraic sets. Our extension covers…