TY - JOUR AU - Acquistapace, Francesca AU - Broglia, Fabrizio AU - Fernando Galván, José Francisco AU - Ruiz Sancho, Jesús María PY - 2004 UR - https://hdl.handle.net/20.500.14352/50644 T2 - Real algebraic and analytic geometry: preprint server AB - We consider Hilbert’s 17 problem for global analytic functions in a modified form that involves infinite sums of squares. This reveals an essential connection between thesolution of the problem and the computation of Pythagoras numbers of meromorphic... LA - eng M2 - 1 KW - Hilbert 17th Problem KW - Pythagoras number KW - sum of squares KW - bad set KW - germs at closed sets TI - On the Hilbert 17th problem for global analytic functions TY - journal article VL - 83 ER -