2026-08-01T04:46:20Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/421612023-08-25T10:17:08Zcom_20.500.14352_14col_20.500.14352_15

On a global analytic Positivstellensatz. Acquistapace, Francesca Broglia, Fabrizio Fernando Galván, José Francisco 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. 2023-06-20T00:11:29Z 2023-06-20T00:11:29Z 2023-06-20T00:11:29Z 2009 journal article https://hdl.handle.net/20.500.14352/42161 1871-2487 10.1007/s11512-008-0082-0 eng MTM2008-00272 MTM2005-02865, 910444 PR34/07-15813 restricted access Springer Verlag