TY - JOUR AU - Acquistapace, Francesca AU - Broglia, Fabrizio AU - Fernando Galván, José Francisco AU - Ruiz Sancho, Jesús María PY - 2010 SN - 0037-9484 UR - https://hdl.handle.net/20.500.14352/42160 T2 - Bulletin de la Société Mathématique de France AB - We consider the 17(th) Hilbert Problem for global real analytic functions in a modified form that involves infinite sums of squares. Then we prove a local-global principle for a real global analytic function to be a sum of squares of global real... M2 - 231 PB - French Mathematical Society KW - 17th Hilbert problem KW - Pythagoras number KW - Sum of squares KW - Bad set KW - Germs TI - On the finiteness of Pythagoras numbers of real meromorphic functions. TY - journal article VL - 138 ER -