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Acquistapace, Francesca Broglia, Fabrizio Fernando Galván, José Francisco 2023-06-20T00:11:29Z 2023-06-20T00:11:29Z 2009 1871-2487 10.1007/s11512-008-0082-0 https://hdl.handle.net/20.500.14352/42161 http://www.arkivformatematik.org/ http://www.springerlink.com/ 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. eng restricted access On a global analytic Positivstellensatz. journal article