RT Journal Article T1 On a global analytic Positivstellensatz. A1 Acquistapace, Francesca A1 Broglia, Fabrizio A1 Fernando Galván, José Francisco AB We consider several modified versions of the Positivstellensatz for global analytic functions that involve infinite sums of squares and/or positive semidefinite analytic functions. We obtain a general local-global criterion which localizes the obstruction to have such a global result. This criterion allows us to get completely satisfactory results for analytic curves, normal analytic surfaces and real coherent analytic sets whose connected components are all compact. PB Springer Verlag SN 1871-2487 YR 2009 FD 2009 LK https://hdl.handle.net/20.500.14352/42161 UL https://hdl.handle.net/20.500.14352/42161 LA eng NO GNSAGA NO INdAM NO MIUR NO MTM NO UCM NO Proyecto Santander Complutense DS Docta Complutense RD 8 abr 2025