%0 Journal Article
%A Acquistapace, Francesca
%A Broglia, Fabrizio
%A Fernando Galván, José Francisco
%T On a global analytic Positivstellensatz.
%D 2009
%@ 1871-2487
%U https://hdl.handle.net/20.500.14352/42161
%X 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.
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