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Sums of Hermitian squares as an approach to the BMV conjecture Burgdorf S. Linear and Multilinear Algebra 59, 1 (2011) 1-9 [hal-00603980 - version 1]

The truncated tracial moment problem Burgdorf S., Klep I. [hal-00603963 - version 1] (2011-06-27)

Trace-positive polynomials and the quartic tracial moment problem Polynômes avec une trace positive et le problème quartique des moments traciaux Burgdorf S., Klep I. Comptes Rendus Mathematique 348, 13-14 (2010) 721-726 [hal-00603986 - version 1]

Pure states, nonnegative polynomials and sums of squares Burgdorf S., Scheiderer C., Schweighofer M. [hal-00603969 - version 1] (2011-06-27)