Positivity, sums of squares and the multi-dimensional moment problem

By Salma Kuhlmann, Martyn Marshall. 2002

117 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/000e3fb25ff9246909112e94b1b9b9360c670634

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. L. Fialkow
2. R. Curto
3. Claus Scheiderer
4. Victoria Powers
5. Monique Laurent
6. Jean B. Lasserre

In Mathematical Physics

1. Claus Scheiderer
2. L. Fialkow
3. R. Curto
4. Martyn Marshall

Citations in the corpus

• Truncated K-moment problems in several variables (2005, background): “ a generalized Schmu¨dgen-type theorem is valid. Indeed, recent advances in real algebra make it possible to concretely describe the polynomials nonnegative on certain noncompact semi-algebraic sets ([KuMa], [PoRe1], [PoRe2], [PoSc], [Pre], [Put2], [Sche]), so as to establish moment theorems via the”
• The moment problem for non-compact semialgebraic sets (2001, background): “We can also answer Open Problems 6 and 7 from [15].”