Resumen de Characterization of moment multisequences by a variation of positive definiteness

Torben Maack Bisgaard

• A functionφ:Nk0→Ris a moment (multi-)sequence if and only if the linearformLon the polynomial algebraR[x1,...,xk]defined byL(xn11...xnkk)=φ(n1,...,nk)is nonnegative on every polynomialpsuch that for some oddnatural numbermthe polynomialp(xm1,...,xmk)is a sum of squares of realpolynomials.