Graduate Texts in Mathematics bridge the gap between passive study and creative
understanding, offering graduate-level introductions to advanced topics in mathematics. The …

Moment and polynomial optimization has received high attention in recent decades. It has
beautiful theory and efficient methods, as well as broad applications for various …

Kinetic equations arise in a wide variety of physical systems and efficient numerical methods
are needed for their solution. Moment methods are an important class of approximate …

With the increased application of model-based whole-body control in legged robots, there
has been a resurgence of research interest into methods for accurate system identification …

Abstract Let A ⊆ N^ n A⊆ N n be a finite set, and K ⊆ R^ n K⊆ R n be a compact
semialgebraic set. An A A-truncated multisequence (A A-tms) is a vector y=(y_ α) y=(y α) …

A truncated moment sequence (tms) in n variables and of degree d is a finite sequence y=(y
α) indexed by nonnegative integer vectors α:=(α 1,…, α n) such that α 1+⋯+ α n≤ d. Let K⊆ …

This paper is about the moment problem on a finite-dimensional vector space of continuous
functions. We investigate the structure of the convex cone of moment functionals (supporting …

We will consider the multidimensional truncated p× p Hermitian matrix-valued moment
problem. We will prove a characterisation of truncated p× p Hermitian matrix-valued …

Let β≡ β (m)={β i} i∈ Z+ n,| i|≤ m, β 0> 0, denote a real n-dimensional multisequence of
finite degree m. The Truncated Moment Problem concerns the existence of a positive Borel …

The classical Truncated Moment problem asks for necessary and sufficient conditions so
that a linear functional $ L $ on $\mathcal {P} _ {d} $, the vector space of real $ n $-variable …