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00925njm 22002777a 4500 dc Acquistapace, Francesca author Broglia, Fabrizio author Fernando Galván, José Francisco author 2009 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. 1871-2487 10.1007/s11512-008-0082-0 https://hdl.handle.net/20.500.14352/42161 http://www.arkivformatematik.org/ http://www.springerlink.com/ On a global analytic Positivstellensatz.